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