Question

7. Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 1/2x - 8; (-6, -17)


A. y = –2x + 14

B. y = 1/2x + 5/2

C. y = 1/2x - 14

D. y = 2x – 14

Answer 1

C. y = 1/2x - 14

Explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = 1 /2 x − 8 .

y = 1 /2 x − 14 PARALLEL

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Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 1 /2 x − 8 .

y = − 2 x − 29 PERPENDICULAR