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 $c<0$.
THX!!!
+128474 (1, 7) and (-2, -3)
The slope of this line is [ -3 - 7 ] -10 10
________ = ____ = ____
[ -2 - 1 ] -3 3
So....using (1, 7) the equation of the line is
y = (10/3) ( x - 1) + 7 multiply through by 3
3y = 10 (x - 1) + 21 simplify
3y = 10x - 10 + 21
-10x + 3y = 11 mutiply through by -1
10x - 3y = -11
