Express the equation of the line passing through points $(1,7)$ and $(2,-3)$ in the form $ax+by=c$, where $a$, $b$ and $c$ are integers, the greatest common divisor of $a$ and $b$ is $1,$ and $c<0$.
(1,7) (2 , -3)
Slope = ( -3-7) / (2 -1) = -10 / 1 = -10
Equation of line using slope and (1,7)
y = -10 ( x -1 ) + 7
y = -10x + 10 + 7
10x + y = 17
+1679 
