SOLUTION: A line passes through the points (3,-3) and (-5,2). The 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 posit

Algebra ->  Coordinate-system -> SOLUTION: A line passes through the points (3,-3) and (-5,2). The 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 posit      Log On


   

Question 1068381: A line passes through the points (3,-3) and (-5,2). The 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.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Find the point-slope form equation of the line using the given two points.
Adjust using algebraic skill into the desired standard form specified.


slope %282-%28-3%29%29%2F%28-5-3%29=5%2F-8=-5%2F8;
Choosing point (3,-3),
y%2B3=-%285%2F8%29%28x-3%29
8y%2B24=-5%28x-3%29
8y=-5x%2B3-24
highlight%285x%2B8y=-21%29


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You could have started with slope-intercept form instead, and transformed into standard form, also.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
A line passes through the points (3,-3) and (-5,2). The 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.
Equation of the line: 5x+%2B+8y+=+-+9

Compare this to: Ax+%2B+By+=+C



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