+223 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.
+23246 First: find the slope: slope = ( y2 - y1 ) / ( x2 - x1 ) = ( 1 - -5 ) / ( 6 - -3 ) = 6 / 9 = 2/3
Then: use the point-slope form for a straight line: y - y1 = m(x - x1) ---> y - -5 = (2/3)(x - -3)
---> y + 5 = (2/3)(x + 3)
---> 3y + 15 = 2(x + 3)
---> 3y + 15 = 2x + 6
---> -2x + 3y = -9
---> 2x - 3y = 9
