Question

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

y = 5/2x - 10; (-6, -29)

A. y = -2/5x + 14

B. y = 5/2x - 14

C. y = 2/5x - 14

D. y = 5/2x + 133/2

Answer 1

B. y = 5/2x - 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 = 5 /2 x − 10 .

y = 5 /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 = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5 PERPENDICULAR