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Solving equations involving parallel and perpendicular lines examples

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25. y = 3<br />

a x – 6; 4x + 2y = 6<br />

Rewrite 4x + 2y = 6 in slope-intercept form.<br />

a<br />

y = – 2x + 6 Compare slopes with y = x – 6. 3<br />

a<br />

If a has a <strong>perpendicular</strong> slope then – 2 ( ) = –1 3<br />

3<br />

a = 2<br />

26. 3y + ax = 8; y = 4<br />

3 x + 2<br />

Rewrite 3y + ax = 8 in slope-intercept form.<br />

a 8 3<br />

y = − x + Compare slopes with y = x + 2.<br />

3 3 4<br />

a 3<br />

If a has a <strong>perpendicular</strong> slope then − ( ) = –1<br />

3 4<br />

a = 4<br />

<strong>Solving</strong> Equations Involving Parallel <strong>and</strong> Perpendicular Lines www.BeaconLC.org©2001 September 22, 2001<br />

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