Answer
y=$\frac{1}{5}$x-$\frac{17}{5}$
Work Step by Step
x-5y=10
-5y=-x+10
y=$\frac{-x+10}{-5}$
y=$\frac{-1}{-5}$x+$\frac{10}{-5}$
y=$\frac{1}{5}$x-2
slope is $\frac{1}{5}$
Line parallel, slope is $\frac{1}{5}$ through (2;-3)
y=mx+b
-3=2$\frac{1}{5}$+b
-3=$\frac{2}{5}$+b
$\frac{-15}{5}$-$\frac{2}{5}$=b
-$\frac{17}{5}$=b
y=mx+b
y=$\frac{1}{5}$x-$\frac{17}{5}$