Answer
y=$\frac{5}{2}$x-5
m=$\frac{5}{2}$
y-intercept=-5
Work Step by Step
First isolate y in the given equation.
5x-2y=10
5x-2y+2y=10+2y
5x=10+2y
5x-10=10-10+2y
5x-10=2y
2y=5x-10
$\frac{2y}{2}$=$\frac{5x-10}{2}$
y=$\frac{5}{2}$x-$\frac{10}{2}$
y=$\frac{5}{2}$x-5
Now that the equation is in the form of y=mx+b you can see than m=$\frac{5}{2}$ and y-intercept=-5
