Find y if the point (-6,y) is on the line that passes through (-1,-7) and (3,-2).
the gradient of the line joining those points is (-2- -7)/(3- -1) = 5 / 4 = 1.25
so the gradient from either of those points to (-6,y) must also be 1.25
\(\frac{y- -2}{-6 - 3}=1.25\\ \frac{y+2}{-9}=1.25\\ y+2=-11.25\\ y=-13.25\)
You can graph those points to check that they are collinear ( in a line)