Question

The line l1 passes through the points (3,-3) and (-5,2). The line is the graph of the equation Ax + By = C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A + B+ C.

Answer 1

(2+3)/(-5-3) = (y+3) / (x-3)

5/-8 = (y+3) / (x-3)

5 x -15 = -8 y -24

5 x + 8 y = -9

5+8-9 = 4