Question

Identify an equation in point-slope form for the line perpendicular to y=-2x+8 that passes through (-3, 9)

Answer 1

If the line is perpendicular, then as a rule the gradient of the perpendicular line will be the negative inverse of the gradient of the line given.
Therefore the gradient of the perpendicular line would be 1/2 
so now just substitute in the equation of a line (y=mx+c) where y and x are given by -3 and 9, and your new m=1/2 
Hope this helps