+46 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.
+15001 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.
Hello VoidAsks!
\(x + 3y = -5\\ y=-\frac{1}{3}x-\frac{5}{3}\\ \color{blue}m=-\frac{1}{3}\)
\(\color{blue}y=m(x-x_p)+y_p\\ y=-\frac{1}{3}(x-(-7))+2\\ y=-\frac{1}{3}x-\frac{7}{3}+\frac{6}{3}\\ \color{blue}y=-\frac{1}{3}x-\frac{1}{3}\)
\(Ax + By = 3\\ \frac{1}{3}x+y=-\frac{1}{3}\ |\ \cdot -9\\ \color{blue}-3x-9y=3\\ A-B=-3-(-9)\)
\(\color{blue}A-B=6\)
Because of the language barrier,
OK. VoidAsks, so
\(\color{blue}B-A =-6\)
!
