Answer
x-intercept = $(-7/3, 0)$
y-intercept = $(0, 7/3)$
Work Step by Step
$-3x+3y=7$ is given
Make y = 0 when finding the x-intercept
$-3x+3(0)=7$
$-3x=7$
$x=-7/3$
when you find the x-intercept, set x = 0
$-3(0)+3y=7$
$3y=7$
$y=7/3$