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A line passes through the points (-3,-5) and (8,7). The equation of this line can be expressed 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.

 Sep 2, 2021
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Find slope between the two lines to be   12/11

 

point slope form ( use either point)

 

y-7 = 12/11 ( x-8)     multiply by 11 to get rid of fraction

11y -77 = 12x - 96   re-arrange

-12x+11y = - 19    since A needs to be positive, multiply through by -1

12x -11y = 19

 Sep 2, 2021

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