Find slope of line passing through (-2,3) and (-3,1):
(1-3)/(-3--2) = -2/-1 = 2
Slope of line perpendicular to that line is negative reciprocal or -1/2
equation of line is y = mx + b, where m is slope and b is y-intercept. We need to fill in m and b.
from above m = -1/2, so y = -1/2x + b.
to find b, we note that the line passes through (-5,6), so can substitute those coordinates into the above equation and solve for b:
6 = -1/2(-5) + b
6 = -2.5 + b
8.5 = b
y = -1/2 x + 8.5
