SOLUTION: A line 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 posit

Algebra ->  Coordinate-system -> SOLUTION: A line 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 posit      Log On


   

Question 1068540: A line 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.
I am aware there is already a post on this. I do not understand how they got their answer or their steps. It would be nice if you could elaborate of that. Thanks in advance!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for the equation of the line through the points,
Slope:
m=%282-%28-3%29%29%2F%28-5-3%29=%282%2B3%29%2F%28-8%29=-5%2F8
Use the point-slope form with either point,
y-2=-%285%2F8%29%28x-%28-5%29%29
8%28y-2%29=-5%28x%2B5%29
8y-16=-5x-25
5x%2B8y%2B9=0
You can do the rest.