The slope of the perpendicular is the negative reciprocal of the original line, so m = -1/(-2) = 1/2.
The general line of slope m through (a,b) is
[tex]y - b = m(x-a)[/tex]
So the line we seek is
[tex] y - 2 = \frac 1 2 ( x - 8)[/tex]
[tex] y = \frac 1 2 x - 2[/tex]
Answer: y = 1/2 x + -2
