Find y if the point (-6,y) is on the line that passes through (-1,7) and $(3,-5)$ .
The slopes between any of the two lines must be equal
(7- -5) / (-1-3) = (y-7) / (-6 - -1) now....simply solve for 'y'
12 / -4 = (y-7) / (-5)
-5 * 12/ -4 = y - 7
15 = y-7
y = 22