Answer
$3x+8y=5$
Work Step by Step
$(3/5, 4/10)$ and $(-1/5, 7/10)$
$m= (4/10-7/10)/(3/5--1/5)$
$m=(-3/10)/(4/5)$
$m=-.3/.8$
$m=-3/8$
$y=mx+b$
$4/10=(3/5)*(-3/8)+b$
$4/10=-9/40+b$
$16/40 = -9/40+b$
$16/40 +9/40 = 9/40-9/40+b$
$25/40=b$
$5/8=b$
$y=-3/8x+5/8$
$8*(y=-3/8x+5/8)$
$8y=-3x+5$
$8y+3x=-3x+5+3x$
$3x+8y=5$