Question

Give the equation of the line passing through the point (20,2)that is perpendicular to y=−4x.

Answer 1

y-2 = 1/4(x-20) point slope form

y = 1/4x -3 slope intercept form

Explanation:

y = -4x

The slope is -4

The slope that is perpendicular is the negative reciprocal

- (1/-4) = 1/4

The slope of our new line is 1/4

We have a point and the slope, so we can use point slope form

y-y1 = m(x-x1)

y-2 = 1/4(x-20)

If we want the line in slope intercept form, distribute

y-2 = 1/4x -5

Add 2 to each side

y-2+2 = 1/4x -5+2

y = 1/4x -3