Answer
$y=-5/2*x-5/2$
Work Step by Step
through (-1,0) and parallel to $5x+2y=2$
$5x+2y=2$
$2y=-5x+2$
$2y/2=(-5x+2)/2$
$y=-5/2*x+1$
Parallel lines have the same slope
$y=-5/2*x+b$
$0=-5/2*-1+b$
$0=5/2+b$
$-5/2=b$
$y=-5/2*x-5/2$