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