A line passes through the points (-3,-5) and (6,1). The equation of this line can be written in the form Ax+By=C , where A, B,and C are integers with greatest common divisor 1, and A is positive. Find A+B+C.
+36916 First find the slope = m = (y1-y2)/(x1-x2) = (-5-1) / (-3-6) = 6/9 = 2/3
Now a line equation is y = mx + b y = 2/3 x + b
sub in one of the points to find 'b'
1 = 2/3 (6) + b
b = -3
so you lie equation becomes y = 2/3 x -3 but not in the form requested
multiply through by 3
3y = 2x -9 re-arrange
2x - 3y = 9 You can finish !
