Question

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y - 2 = -1/4 (x + 3); (-3, 5)

a. y = -3x -5
b. y = 1/4x - 6
c. y = 4x + 17
d. y = 4x + 5

Answer 1

Hi there! To begin, can you put the equation you were given into y = mx + b form?

Answer 2

can you just tell me the answer please? I don't have time right now I need a quick answer

Answer 3

C

Answer 4

thank you so much!!

Answer 5

You may go, but I'll explain it to you anyways, using a quick and easy elimination method, which is a good test habit.

For a line to be perpendicular to another, its slope needs to be the negative inverse of the other line. Your given slope is -1/4, the inverse if -1/4 is -4, the negative of -4 is 4. Therefore your slope is 4. The only two equations with 4 as the slope are C and D.

We want the line to go through (-3, 5). Let's use substitution and see which equation passes through this point.
I am using C:
(5) = 4(-3) + 17
(5) = -12 + 17
5 = 5
C is the answer.