Solving equations involving parallel and perpendicular lines examples
Solving equations involving parallel and perpendicular lines examples
Solving equations involving parallel and perpendicular lines examples
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Find an equation of the line that passes through each given point <strong>and</strong> is <strong>parallel</strong> to<br />
the line with the given equation.<br />
15. (4, 2); y = 2x – 4<br />
Use m = 2 <strong>and</strong> (4, 2) to find b.<br />
2 = 2(4) + b<br />
b = –6<br />
y = mx + b<br />
y = 2x – 6<br />
16. (3, 1); y = 3<br />
1 x + 6<br />
Use m = 3<br />
1 <strong>and</strong> (3, 1) to find b.<br />
1 = 3<br />
1 (3) + b<br />
b = 0<br />
y = mx + b<br />
y = 3<br />
1 x<br />
17. ( 2<br />
1 , 3<br />
1 ); x + 2y = 5<br />
1 5<br />
x + 2y = 5 y = − x +<br />
2 2<br />
1 1 1<br />
Use m = − <strong>and</strong> ( , ); to find b.<br />
2 2 3<br />
1 1 1 = − ( ) + b<br />
3 2 2<br />
y = mx + b<br />
7<br />
1 7<br />
b =<br />
y = − x +<br />
12<br />
2 12<br />
18. (0, 0); 3x – y = 4<br />
3x – y = 4 y = 3x – 4<br />
Use m = 3 <strong>and</strong> (0, 0); to find b.<br />
0 = 3 (0) + b<br />
b = 0<br />
y = mx + b<br />
y = 3x<br />
<strong>Solving</strong> Equations Involving Parallel <strong>and</strong> Perpendicular Lines www.BeaconLC.org©2001 September 22, 2001<br />
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