Question

identify an equation in point slope form for the line perpendicular to the y=-1/2x+11 that passes through (4,-8). a. y+8=1/2(x-4) b. y-4=2(x+8) c. y-8=1/2(x+4) d. y+8=2(x-4)

Answer 1

d. y+8=2(x-4)

Explanation:

There are 2 important parts to this question. First, understanding which slopes are perpendicular. The negative reciprocal of a number will be perpendicular to it. So, since the original slope is -1/2 the new slope should be 2.

Then, remember what the point-slope formula is. The point-slope formula is:
`y-y_(2)=m(x-x_(2))`. So if you plug in the point and slope the new equation looks like,
`y--8=2(x-4)`. Then, simplify for the final answer of
`y+8=2(x-4)`.