Question

Which line is perpendicular to y=2x+4?

a. y=2x-6
b. y=-1/2x+7
c. y=-1/4x+2
d. y=-4x+3

Answer 1

B

In the equation y=mx+b m is the slope of the line.

Therefore the coefficient in each of these equations is the slope.

A line with a perpendicular slope must have the inverse opposite of the actual line. For example if a line has a slope of 5, a perpendicular line to that line must have a slope of -1/5. If a line has a slope of 10, the perpendicular line has a slope of -1/10. If a line has a slope of 2 then the inverse opposite is -1/2 and that is the slope of the perpendicular line.

B is the only answer with the correct slope so B is the answer.

Explanation: