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A line passes through the points (-3,-5) and (8,1). 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  and  is positive. Find A+B+C

 
 Jan 10, 2021
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First, find the slope:

1--5/8--3=6/11.

Then we find the y-intercept:

So for every 11 spaces we go to the right, we go up 6 spaces.

To get an x value of zero, we want to go 3 spaces to the right and we go up 3/11*6 or 18/11 spaces up. 

-5+18/11 is - 3 4/11.

So our equation now is y=6/11x-37/11

Multiply both sides by 11 to get

11y=6x-37

Add 37 and subtract 11y from each side to get

37=6x-11.

37+6-11 is 32.

 
 Jan 10, 2021

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