Question

Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).

Answer 1

y = 1/2x - 2

Explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

`y-y_1=m(x-x_1)\\\\y-2=(1)/(2)(x-8)\\\\y-2=(1)/(2)x-4\\\\y=(1)/(2)x-2`