Question

Which equation represents a line which is perpendicular to the line y=2x-5y

A. 2x−y=−4
B. 2y−x=4
C. x+2y=-6
D.2x+y=-2

Answer 1

c

Explanation:

To find a perpendicular line, you must compare the slopes. With the equation y=2x-5, we're looking for the inverse/opposite slope of -1/2.

Option A still has a slope of 2. Option B, when everything is in the format of mx+b = y format is -x-4=-2y. which gives us 1/2 but not -1/2. C when everything is on the right side gives us -2y=x-6. Divide both sides by -2 to get the y by itself and you're left with y = -1/2x+3. Now we found the equation that gives us the -1/2 slope we were looking for.