Question

Which choice could be the equation of a line perpendicular to the line represented by this equation? y = 5

a. y = 4x- 9
b.y=-1/5x
c. y = 5x
d. x = 5

Answer 1

the answer to the question is C

Answer 2

d. x = 5

Explanation:

The standard form of an linear equation: y = mx + 5

Given the equation: y = 5

The above equation has a graph as a horizontal straight line with will intersect with y-xis as point (0,5) with it's slope equals 0

So the equation of a line perpendicular to the line represented by this equation must has a graph as a vertical straight line with the slope equals 0

In 4 answers, only d. x = 5 fit the requirement because it's slope is 0 and it has a graph as a vertical straight line