Answer
x-intercept: $(-9, 0)$
y-intercept: $(0, 3)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$-x+3y=9
\\-x+3(0)=9
\\-x=9
\\-x(-1)=9(-1)
\\x=-9$
Thus, the x-intercept is $(-9, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$-x+3y=9
\\-0+3y=9
\\3y=9
\\\frac{3y}{3}=\frac{9}{3}
\\y=3$
Thus, the y-intercept is $(0, 3)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
