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

Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 4?

Quiz

Answer/Solution

y = 1/2*x - 4

Steps/Work

Since our line has to perpendicular to y = − 2x + 3
Slope of this line , m = -2
Slope will be required line L = 1/2 ( Product of slope of perpendicular lines = -1)
y-intercept of line L is same as y intercept of line y = 2x − 4
y - intercept of line L = -4
Required line = 1/2* x - 4
Answer B