Answer
Please see the graph.
Work Step by Step
$y=-3/5*x+3$
Let $x=0$ (y-intercept)
$y=-3/5*x+3$
$y=-3/5*0+3$
$y=0+3$
$y=3$
$(0,3)$
Let $y=0$
$y=-3/5*x+3$
$0=-3/5*x+3$
$0-3=-3/5*x+3-3$
$-3=-3/5*x$
$-3*-5/3=-3/5*x*-5/3$
$15/3=x$
$5=x$
$(5,0)$
Let $x=-5$
$y=-3/5*x+3$
$y=-3/5*-5+3$
$y=15/5+3$
$y=3+3$
$y=6$
$(-5,6)$