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 $x + 3y = -5.$
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Here ...I copied and pasted the info at the link:
x + 3y = -5. is tha same as y = -1/3 x - 5/3 slope, m = -1/3
parallel line is of the form y = -1/3 x + b
sub in the given point 2 = -1/3 (-7) + b shows b = -1/3
so line eq becomes y = - 1/3 x -1/3
re-arranged y + 1/3 x = -1/3 multiply by 3
x + 3y = - 1 now you can calc B-A