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A line passes through the points (-3,-5) and (6,1). 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 1, and A is positive. Find A + B+ C.

 Jul 4, 2020
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We write an equation in slope intercept form based on the given points. The slope must be 2/3 using the slope formula. We then have y=2/3x+b. We plug in one of the points to find b.

 

y=2/3x+b

1=2/3(6)+b

1=4+b

b=-3

 

The equation is y=2/3x-3. We then convert it into standard form.

 

y=2/3x-3

-2/3x+y=-3

2x-3y=9

 Jul 4, 2020

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