Answer
y=$\frac{5}{3}$x+$\frac{13}{3}$
Work Step by Step
3x+5y=4
5y=4-3x
5y=-3x+4
y=-$\frac{3}{5}$x+$\frac{4}{5}$ slpoe is -$\frac{3}{5}$
The line perpendicular has the slope $\frac{5}{3}$,through (-2,1)
y=mx+b
1=$\frac{5}{3}$(-2)+b
1=-$\frac{10}{3}$+b
$\frac{3}{3}$+$\frac{10}{3}$=b
$\frac{13}{3}$=b
y=mx+b
y=$\frac{5}{3}$x+$\frac{13}{3}$
