Question

Which equation represents the line perpendicular to the line x + 2y = 12?

Answer 1

A. y = -2x -9
B. y = (1/2)x + 6
C. 2x - y = -3
D. 2x + 4y =7

Answer 2

slope of line y=m x+c is m
and slope of line perpendicular to it is -1/m

Answer 3

First solve to find the equation in point-slope form.
x + 2y = 12
-x -x
2y = -x + 12
__ ___ ____
2 2 2
y = -1/2 + 6

Answer 4

Then flip it to find the slope of the perpendicular line. -1/2 flipped and the sign reversed is 2. That narrows it down to C. or D.

Answer 5

so its B

Answer 6

Look at how you solve D.
2x + 4y = 7
-2x -2x
4y = -2x + 7
__ ____ ___
4 4 4
y = -1/2 + 7/4
Now look at C.
2x - y = -3
-2x -2x
-y = -2x - 3
___ ____ ___
-1 -1 -1
y = 2x + 3
The answer is C.

Answer 7

Thank you both very much