A line passes through the points (-3,-5) and (6,1). This 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.
The slope of the line is (6 - (-3))/(1 - (-5)) = 9/6 = 3/2, so by point slope form, the equation of the lins is (y - 1) = 3/2(x - 6). Then 2y - 2 = 3x - 18, so 3x - 2y = 16. Answer is 3 + (-2) + 16 = 17.
