Question 1134593
rewrite the line given as 2y=-5x+15
then divide by 2 for y=-(5/2)x+7.5, which is slope intercept form.  The slope is -5/2.

Perpendicular lines have a negative reciprocal slope,meaning their slope product is -1. The slope of the line desired is +2/5
An x-intercept of (5, 0) is a point
point slope formula y-y1=m(x-x1) (x1, y1) point
y=(2/5)(x-5)
y=(2/5)x-2
{{{graph(300,300,-10,10,-10,10,(-5/2)x+7.5,(2/5)x-2)}}}