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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 $x + 3y = -5.$

Also the answer isn't -3, I tried that and it said it was incorrect

Aug 15, 2022

#1
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Note that in standard form (Ax + By = C), the slope of the equation is just $$-{A \over B}$$.

So, we have $$-{A \over B} = -{1 \over 3}$$, meaning $$3A = B$$

Now, substitute the point $$(-7, 2)$$ into the equation. This gives us $$-7A + 2B = 3$$

Now, just solve the system for A and B, then do B - A

:)

Aug 16, 2022