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------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/master11.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/preview.wmf Content-Transfer-Encoding: base64 Content-Type: image/x-wmf AQAJAAADyQAAAAUAHgAAAAAABAAAAAMBCAAFAAAACwIAAAAABQAAAAwCeQChAAMAAAAeAAcAAAD8 AgAA////AAAABAAAAC0BAAAIAAAA+gIFAAAAAAD///8ABAAAAC0BAQAOAAAAJAMFAP///////3gA oAB4AKAA////////CAAAAPoCAAAAAAAAAAAAAAQAAAAtAQIABAAAAC0BAAAEAAAAJwH//xwAAAD7 Avn/AAAAAAAAkAEAAAAAAEAAAEFyaWFsAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAC0B AwAEAAAALgEYAAQAAAACAQEABQAAAAkCAAAAAh4AAAAyCgkAOAAPAAAAR3JhcGhzIG9mIExpbmVz kAUAAgAEAAQABAAEAAIABAACAAIABAACAAQABAADAAQAAAAuAQAAHAAAAPsCEAAHAAAAAAC8AgAA AAABAgIiU3lzdGVtAAAAAAAAAAAAABgAAAABAAAAcDcVAOQEAAAEAAAALQEEAAQAAADwAQMAAwAA AAAA ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/pres.xml Content-Transfer-Encoding: quoted-printable Content-Type: text/xml; charset="utf-8" ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0029.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0139.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;    
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0140.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;     
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0141.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;     
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
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charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12       
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
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charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12        = ;      
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
If the equation has only y (no x), the = graph is = a horizontal line.
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
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charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12        = ;            
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
If the equation has only y (no x), the = graph is = a horizontal line.
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
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Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ AAkAgQAAAAAAALvg4wECAwITBIJoJ93BnENyhvoupjvOlShAAQA7 ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0144_image023.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhrAALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACp AAkAgQAAAAAAALvg4/oQNwJohI+py+0Pg5SwgkmtxkH7D4aPJJRlJx6BeabLyqLuTNNwPN94rZty DQxGWLtQzwc8tjyDpvMJjUqn1Kr1is1qt9yt8AtSCn4fMTllBqvXyrOnnSQu1/Tg0f2W40X3uj/J wRP4xbHnUAAAOw== ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0145.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12        = ;             c. 2x =3D 12
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
If the equation has only y (no x), the = graph is = a horizontal line.
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
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Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ AAkAgQAAAAAAALvg4wECAwITBIJoJ93BnENyhvoupjvOlShAAQA7 ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0145_image031.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhrAALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACp AAkAgQAAAAAAALvg4/oQNwJohI+py+0Pg5SwgkmtxkH7D4aPJJRlJx6BeabLyqLuTNNwPN94rZty DQxGWLtQzwc8tjyDpvMJjUqn1Kr1is1qt9yt8AtSCn4fMTllBqvXyrOnnSQu1/Tg0f2W40X3uj/J wRP4xbHnUAAAOw== ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0146.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12        = ;             c. 2x =3D 12
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
If the equation has only y (no x), the = graph is = a horizontal line.
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
If the equation has only x (n= o y), the graph is a
verti= cal line.
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Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAQAJ AAkAgQAAAAAAALvg4wECAwITBIJoJ93BnENyhvoupjvOlShAAQA7 ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0146_image039.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhrAALAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAEAAACp AAkAgQAAAAAAALvg4/oQNwJohI+py+0Pg5SwgkmtxkH7D4aPJJRlJx6BeabLyqLuTNNwPN94rZty DQxGWLtQzwc8tjyDpvMJjUqn1Kr1is1qt9yt8AtSCn4fMTllBqvXyrOnnSQu1/Tg0f2W40X3uj/J wRP4xbHnUAAAOw== ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0147.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
a. y =3D = 2x – 5        = ;      b. -3y =3D 12        = ;             c. 2x =3D 12
If both variables = ;
x and y are
present in the
equation, the <= /span>graph is = a
tilte= d line.<= /div>
If the equation has only y (no x), the = graph is = a horizontal line.
Summary o= f the graphs of linear equations:
Graphs of Lines<= /span>
If the equation has only x (n= o y), the graph is a
verti= cal line.
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Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0147_image049.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhCwCjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAQAK AKAAgQAAAAAAALvg4/oQNwLYhDFzi8qWHnQvSlspwyukwARCIoCGOA5Cea7kGqDpWsovi95grrIt Get8LpoFx1g8HJXJiaTxXDqJ0SaUGvIMgq2Zj0eL0XS2Hs5l3qFhBxHQdBpmqnTs3L6xSq/3fr4e 8gEn9mICBlMWlog4lgZwiOPWA/co6IcE+IeHucmUyXnp2Vm5RSnJ9rjGBimmWtMYlup15jWoxQWq GTq1y6f7mxss2rtXrHf8OQysLMy77NzsG22cDM18bZ0tjb2tTT3aHf5NjAw+/ixeTl6dzn4+rY7+ zj3vrVEAADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0070.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
x-Intercepts is wherer= the line crosses the x-axis;
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0149.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0150.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Intercepts is where = the line crosses the y-axis;
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0151.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
Graphs of Lines<= /span>
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0152.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
Graphs of Lines<= /span>
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method,
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0153.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
Graphs of Lines<= /span>
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0148.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0154.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
0
0
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0154_image050.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AFIAgAAAAAAAAAL/jI+py+0Ao5zQ2Ysb3dLwzwXg2IlkeZJm+nks4L7bKk9xetcRrVe8+tMFazlg z3ZEvYrC5G7Ygi6dPhmTSIVJZ1tc9hr9frs2smpsNY/UIHCI3UIv4SE5y3234+gz/QnvRQVYJiYI N3hmmFbohPjEmORYJehnRKk4B3kkqZXh+cmweNl4yEdhSpg5Glmq2cPJWYd5h9pRuVa7c9uWW7Eb trrZGvw63PgbFNs3W5LcC+OXwOUqRONJTfSDME1c/cZ9zPz3TG4c+fvdnS0aTsp+Lm7Zzvq+iQ4O 7646L5wG+v+v3qt7p8gRTMWvmMAm8XBhW8jr4b49EmlBtHJQSUJvShPtNYyoDiITZacqbStYkeIT DCnHlTmAz6O+lzEHfoSGMmRHefno7WQ4U+XGdT+x3Ew39CLSnv2KYjxaE6hPWgCrZvBnNauGFwUA ADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0155.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
0
0
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0155_image051.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AFIAgAAAAAAAAAL/jI+py+0Ao5zQ2Ysb3dLwzwXg2IlkeZJm+nks4L7bKk9xetcRrVe8+tMFazlg z3ZEvYrC5G7Ygi6dPhmTSIVJZ1tc9hr9frs2smpsNY/UIHCI3UIv4SE5y3234+gz/QnvRQVYJiYI N3hmmFbohPjEmORYJehnRKk4B3kkqZXh+cmweNl4yEdhSpg5Glmq2cPJWYd5h9pRuVa7c9uWW7Eb trrZGvw63PgbFNs3W5LcC+OXwOUqRONJTfSDME1c/cZ9zPz3TG4c+fvdnS0aTsp+Lm7Zzvq+iQ4O 7646L5wG+v+v3qt7p8gRTMWvmMAm8XBhW8jr4b49EmlBtHJQSUJvShPtNYyoDiITZacqbStYkeIT DCnHlTmAz6O+lzEHfoSGMmRHefno7WQ4U+XGdT+x3Ew39CLSnv2KYjxaE6hPWgCrZvBnNauGFwUA ADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0156.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
-4
0
0
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0156_image052.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AFIAgAAAAAAAAAL/jI+py+0Ao5zQ2Ysb3dLwzwXg2IlkeZJm+nks4L7bKk9xetcRrVe8+tMFazlg z3ZEvYrC5G7Ygi6dPhmTSIVJZ1tc9hr9frs2smpsNY/UIHCI3UIv4SE5y3234+gz/QnvRQVYJiYI N3hmmFbohPjEmORYJehnRKk4B3kkqZXh+cmweNl4yEdhSpg5Glmq2cPJWYd5h9pRuVa7c9uWW7Eb trrZGvw63PgbFNs3W5LcC+OXwOUqRONJTfSDME1c/cZ9zPz3TG4c+fvdnS0aTsp+Lm7Zzvq+iQ4O 7646L5wG+v+v3qt7p8gRTMWvmMAm8XBhW8jr4b49EmlBtHJQSUJvShPtNYyoDiITZacqbStYkeIT DCnHlTmAz6O+lzEHfoSGMmRHefno7WQ4U+XGdT+x3Ew39CLSnv2KYjxaE6hPWgCrZvBnNauGFwUA ADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0157.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
-4
0
0
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
If y =3D 0, we get
2x – 3(0) =3D 12
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0157_image053.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AFIAgAAAAAAAAAL/jI+py+0Ao5zQ2Ysb3dLwzwXg2IlkeZJm+nks4L7bKk9xetcRrVe8+tMFazlg z3ZEvYrC5G7Ygi6dPhmTSIVJZ1tc9hr9frs2smpsNY/UIHCI3UIv4SE5y3234+gz/QnvRQVYJiYI N3hmmFbohPjEmORYJehnRKk4B3kkqZXh+cmweNl4yEdhSpg5Glmq2cPJWYd5h9pRuVa7c9uWW7Eb trrZGvw63PgbFNs3W5LcC+OXwOUqRONJTfSDME1c/cZ9zPz3TG4c+fvdnS0aTsp+Lm7Zzvq+iQ4O 7646L5wG+v+v3qt7p8gRTMWvmMAm8XBhW8jr4b49EmlBtHJQSUJvShPtNYyoDiITZacqbStYkeIT DCnHlTmAz6O+lzEHfoSGMmRHefno7WQ4U+XGdT+x3Ew39CLSnv2KYjxaE6hPWgCrZvBnNauGFwUA ADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0158.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
-4
0
0
6
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
If y =3D 0, we get
2x – 3(0) =3D 12
so x =3D 6
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0158_image054.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhSgBTAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAABI AFIAgAAAAAAAAAL/jI+py+0Ao5zQ2Ysb3dLwzwXg2IlkeZJm+nks4L7bKk9xetcRrVe8+tMFazlg z3ZEvYrC5G7Ygi6dPhmTSIVJZ1tc9hr9frs2smpsNY/UIHCI3UIv4SE5y3234+gz/QnvRQVYJiYI N3hmmFbohPjEmORYJehnRKk4B3kkqZXh+cmweNl4yEdhSpg5Glmq2cPJWYd5h9pRuVa7c9uWW7Eb trrZGvw63PgbFNs3W5LcC+OXwOUqRONJTfSDME1c/cZ9zPz3TG4c+fvdnS0aTsp+Lm7Zzvq+iQ4O 7646L5wG+v+v3qt7p8gRTMWvmMAm8XBhW8jr4b49EmlBtHJQSUJvShPtNYyoDiITZacqbStYkeIT DCnHlTmAz6O+lzEHfoSGMmRHefno7WQ4U+XGdT+x3Ew39CLSnv2KYjxaE6hPWgCrZvBnNauGFwUA ADs= ------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0159.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Equations of Lines
-4
0
0
6
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
If y =3D 0, we get
2x – 3(0) =3D 12
so x =3D 6
------=_NextPart_01C8EC80.9D830E80 Content-Location: file:///C:/D0F64513/2graphsoflines_files/slide0159_image055.jpg Content-Transfer-Encoding: base64 Content-Type: image/jpeg /9j/4AAQSkZJRgABAQEANQA1AAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIf IiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/wAALCACoALMBAREA/8QAHwAAAQUBAQEB AQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1Fh ByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZ WmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXG x8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/9oACAEBAAA/AOo8MaJ4dm8I6RJP4Qt5 5XsIWeY6fExkYxjLZPJyec1c03QfDTaZas/gy2djChLHTYTuOBzSNoPhr+10X/hDLbZ9nY7P7Ohw TuXnFPvtB8Mrp9yV8F2yMImIYabCMHB5qSHQPDBgjz4Ktidoyf7Nh54qGPQfDX9qTqfBlsUEMZCf 2bDgHL5P6D8qTVNB8NLpdy0fgy2jYRnDDToRirX9geF/+hJtf/BbDVW20Hw0b69DeDLZlDptX+zo fl+UUuoaD4aW2Up4MtkPnRDI02Ecb1yPx6VZ/sDwv/0JNr/4LYa5BNO0yDV/ERtfClhMUvYY4YZ9 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-4
0
0
6
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
If y =3D 0, we get
2x – 3(0) =3D 12
so x =3D 6
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-4
0
0
6
y
x
= x-Interce= pts is wherer the line crosses the x-axis; set y =3D 0 in = the equat= ion to find the x-intercept.
y-Interce= pts is where the line crosses the y-axis; set x =3D 0 in the equat= ion to find the y-intercept.
y-int
x-int
Graphs of Lines<= /span>
Example C. Graph  2x – 3y =3D 1= 2
by the intercept method.
<= span lang=3DEN-US style=3D'font-size:133%;mso-fareast-language:ZH-CN'>Since two= points determine a line, an easy method to graph linear equations= is the intercept method, i.e. we plot the x-int= ercept and the y intercept, the graph is the line that = passes th= rough them.
If x =3D 0, we get
2(0) – 3y =3D 12
so y =3D -4
If y =3D 0, we get
2x – 3(0) =3D 12
so x =3D 6
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