Bunuel wrote:

Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 3?

A. y = -1/2*x + 3

B. y = 1/2*x - 3

C. y = 1/2*x + 3

D. y = 2x + 3

E. y = 2x − 3

This question tests your knowledge about the various terms used in coordinate geometry.

If two lines are perpendicular, then the product of their slopes will be = -1

How to find the slope:

Any line can be written in the form y = mx + c

Where m is the slope and c is the intercept.

In this case, slope of y = -2x + 3 is "-2"

Hence the answer choice should have the slope as "1/2"

Only options B and C remain.

Next we need the intercept to be same.

The intercept given is "-3"

Hence the equation of the line will be y = 1/2*x - 3

Option B