Question

25 POINTS!

Which of the following is an equation of a line PARALELL to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1
Which of the following is an equation of a line PERPENDICULAR to the equation y=-4x+5
A. Y=4x+1
B. Y=-4x+1
C. Y=1/4x+1
D. Y=-1/4x+1

Answer 1

A line parallel to y=-4x+5 must have the same slope, but different y-intercepts to be parallel.

A line perpendicular to y=-4x+5 must have a negative reciprocal slope to be perpendicular. Let’s find such a line:

m=-4, so a perpendicular line must have a slope of -(-1/4) = 1/4. Therefore, the best equation choice is C.)