The perpendicular bisector of the line segment connecting the points (-3,8) and (5,4) has an equation of the form y=mx+b. Find m+b.
Midpoint is 1,6 slope, m, between points is 4/-8 = -1/2 ( you should know how to do this)
perpindicular slope = -1/m = 2 ( you should know this too)
point slope form of your perpindicular line is then:
y-6 = 2 (x-1) re-arrange
y-6 = 2x - 2
y = 2 x + 4 you can finish .....