Answer
y=$\frac{3}{4}$x+$\frac{7}{2}$
Work Step by Step
through (-6,-1) and perpendicular to 4x+3y=5
4x+3y=5
3y=5-4x
y=$\frac{5-4x}{3}$
y=$\frac{-4x}{3}$+$\frac{5}{3}$ slope $\frac{-4}{3}$
the line perpendicular to this line ,has the slope $\frac{3}{4}$
our line has slope $\frac{3}{4}$ through (-6,-1)
-1=$\frac{3}{4}$(-6)+b
-$\frac{2}{2}$=-$\frac{9}{2}$+b
-$\frac{2}{2}$+$\frac{9}{2}$=b
$\frac{7}{2}$=b
y=mx+b
y=$\frac{3}{4}$x+$\frac{7}{2}$
