Question

Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

Answer 1

y= 1/2x + 6

Explanation:

when making a perpendicular equation, flip the slope.

Answer 2

y = 1/2x + 4

Explanation:

The slope of the perpendicular line will have the complete opposite slope.

The perpendicular slope is 1/2x.

To get the slope I just got the opposite sign and reciprocal of -2.

NOW plug in (-4,2) to find the y-intercept

2 = 1/2(-4) + b (b represents y-intercept)

2 = -2 + b (add 2 on both sides)

4 = b

y = 1/2x + 4 is the final equation

HOPE THIS HELPS!!