To convert -2x+10y=2 into slope intercept form, we must move -2x to the right hand side as 2x. It reads
[tex]10y=2+2x[/tex]
now, we must divide by 10 both sides, it yields
[tex]\frac{10y}{10}=\frac{2x}{10}+\frac{2}{10}[/tex]
which is equal to
[tex]y=\frac{1}{5}x+\frac{1}{5}[/tex]
