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

Answer:

B. y = 5/2x - 14

Step-by-step 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

...................................................................................................................................................

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