Find the value of if the graph of
passes through the point
and is parallel to the graph of
A = -3 and B = -9
Since Ax + By = 3 is parallel to 1x + 3y = -5, we know that A/B = 1/3 or 3A = B
Next we are given that Ax + By = 3 intersects (-7, 2) so -7A + 2B = 3
Now using substitution we can solve for A and B
-7A + 2(3A) = 3
-7A + 6A = 3
-A = 3
A = -3
B = 3A
B = 3(-3)
B = -9