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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

 Jun 17, 2021
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In order to find the equation, you need to find two things. The y intercept, and the slope. Let's start with slope.

 

Slope is y/x, so 1-(-5)/8-(-3) = 6/11

 

This means -A/B = 6/11 (I think some part of the copy and paste didn't show up for the "is positive" part)

 

This means A and B equal -6,11 or 6,-11

 

Now for C, We can use one of the coordinates given. Let's use (8,1). -48 + 11 = C, C = -37. Note that if we used the other A and B, C would be 37.

 

Hope that helped :)

 Jun 18, 2021

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