Question

Use point slope formula to find the equation perpendicular to y=-2x+9 passing through the points (0,7)

Answer 1

y-7 = 1/2x point slope form

y = 1/2x+7 slope intercept form

Explanation:

y=-2x+9

This equation is in the form y= mx +b so the slope is -2

We want a line perpendicular

Take the negative reciprocal

m perpendicular is - (-1/2)

m perpendicular = 1/2

We have a slope of 1/2 and a point. We can use point slope form

y-y1 = m(x-x1)

y-7 = 1/2(x-0) point slope form

y-7 = 1/2x

Adding 7 to each side

y-7+7 =1/2x +7

y = 1/2x+7 slope intercept form