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.
Write the equation of this line in the form Ax + By = C
m=yp−yqxp−xq=2−7−8−4=512y=m(x−xq)+yqy=512(x−4)−7y=512x−53−7−512x+y=−53−7−5x+12y12=−20−84125x−12y12=20+8412
Ax+By=C5x−12y=104
!
+1270 
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