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

Answer:
y = 1/2x - 2
Step-by-step 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:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]