Question

Use the point slope formula to find the line perpendicular to y=-2x+9 passing through points (1,7)

Answer 1

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

y = 1/2x+13/2 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-1) point slope form

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

Adding 7 to each side

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

y = 1/2x-1/2 +14/2

y = 1/2x +13/2 slope intercept form