Find the value of B-A if the graph of Ax + By = 3 passes through the point (-7,-2) and is parallel to the graph of x + 3y = -5.
+128408 x + 3y = -5
3y = - x - 5
y = (-1/3)x - 5/3 the slope of the parallel line = -1/3
So....since this line passes through (-7,-2) we have that
y= (-1/3) ( x - - 7) - 2 simplify
y = (-1/3) ( x + 7) - 2
y= (-1/3)x - 7/3 - 2
y = (-1/3)x - 13/3 mutiply through bu 3
3y = -x - 13 put in standard form
1x + 3y = -13 multiply through by -3/13
-(3/13)x - 9/13y = 3
A = -(3/13) B = (-9/13)
B - A =
-9/13 - (-3/13) =
-6/13
See the graph here : https://www.desmos.com/calculator/54dowo0bf4
