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.
+14915 Find the value of B - A.
Hello Guest!
\(x + 3y = -5\\ y=-\frac{x}{3}-\frac{5}{3}\\ m=-\frac{1}{3}\\ P(-7,2)\)
\(y=-\frac{1}{3}(x+7)+2\ (point-direction\ equation )\\ y=-\frac{1}{3}x-\frac{7}{3}+2\\ y=-\frac{1}{3}x-\frac{1}{3}\\ \frac{1}{3}x+y=-\frac{1}{3}\ |\ \times -9\\ \color{blue}-3x-9y=3 \)
\(Ax+By=3\\ \color{blue}B-A=-9-(-3)=-6\)
!
