A line passes through the points $A,$ $B,$ and $C.$ If $A = (-2,-4),$ $B = (-3,12),$ and $C = (4,y),$ then find $y.$
All the points are on the same line...So, the slope between any two points will be the same
So
[ 12 - -4] / [ -3 - -2 ] = 16 / -1 = -16
And
[ y - 12 ] / [ 4 - -3] = -16
[y -12 ] / [ 7] = -16
y -12 = -16 * 7
y - 12 = -112
y = -112 + 12 = -100
+1791 
