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