The line \(l\)(has a little one at the bottom), 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.
Slope of line
[ 2 - -3 ] / [ -5 -3 ] = 5 / -8 = -5/8
Equation of line using (3 , -3)
y =(-5/8) ( x -3) - 3 multiply through by 8
8y = -5 ( x -3) - 24
8y = -5x + 15 - 24
5x + 8y = -9
A + B + C =
5 + 8 + (-9) =
4
Thank you! also, 3 am? how do u stay up that late :_)
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