A line passes through the points $P$ and $Q.$ If $P = (-8,2)$ and $Q = (4,-7),$ then write the equation of this line in the form $Ax + By = C,$ where $A$, $B$, and $C$ are integers with greatest common divisor $1,$ and $A$ is positive.
m = [ 2 - -7 ] / [ -8 - 4 ] = 9 / -12 = -3/4
Equation
y = -(3/4)(x -4) - 7
y = -(3/4)x + 3 - 7
y = -(3/4)x - 4
4y = -3x - 16
3x + 4y = - 16