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# Coordinates

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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.

Feb 4, 2022

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Find the value of B - A.

Hello Guest!

$$x + 3y = -5\\ y=-\frac{x}{3}-\frac{5}{3}\\ m=-\frac{1}{3}\\ P(-7,2)$$

$$y=-\frac{1}{3}(x+7)+2\ (point-direction\ equation )\\ y=-\frac{1}{3}x-\frac{7}{3}+2\\ y=-\frac{1}{3}x-\frac{1}{3}\\ \frac{1}{3}x+y=-\frac{1}{3}\ |\ \times -9\\ \color{blue}-3x-9y=3$$

$$Ax+By=3\\ \color{blue}B-A=-9-(-3)=-6$$

!

Feb 4, 2022
edited by asinus  Feb 4, 2022