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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.

 

(2, and -8 are not right...)

 Feb 21, 2020
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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.

 Feb 21, 2020

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