Answer
x-intercept: $(3, 0)$
y-intercept: $(0, 9)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$3x+y=9
\\3x+0=9
\\3x=9
\\\frac{3x}{3}=\frac{9}{3}
\\x=3$
Thus, the x-intercept is $(3, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$3x+y=9
\\3(0)+y=9
\\y=9$
Thus, the y-intercept is $(0, 9)$.
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.
