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Please help fast! I appreciate your help.

 

The line l 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.

 Nov 10, 2018

Best Answer 

 #1
avatar+5652 
+1

pretty simple stuff

 

first find the slope of the line

\(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-(-3)}{-5-3} = \dfrac{5}{-8}=-\dfrac 5 8\)

 

now use point slope form with say the first point (3,-3) to define the line

 

\((y-p_y) = m(x-p_x)\\ (y-(-3))=-\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8 x+\dfrac{15}{8}\\ 8y + 24 = -5x + 15\\ 5x+8y = -9\\ 5+8+(-9) = 4\)

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 Nov 10, 2018
 #1
avatar+5652 
+1
Best Answer

pretty simple stuff

 

first find the slope of the line

\(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-(-3)}{-5-3} = \dfrac{5}{-8}=-\dfrac 5 8\)

 

now use point slope form with say the first point (3,-3) to define the line

 

\((y-p_y) = m(x-p_x)\\ (y-(-3))=-\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8 x+\dfrac{15}{8}\\ 8y + 24 = -5x + 15\\ 5x+8y = -9\\ 5+8+(-9) = 4\)

Rom Nov 10, 2018

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