Answer
x-intercept: $(2, 0)$
y-intercept: $(0, 6)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$y=-3x+6
\\0=-3x+6
\\3x=6
\\\frac{3x}{3}=\frac{6}{3}
\\x=2$
Thus, the x-intercept is $(2, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$y=-3x+6
\\y=-3(0)+6
\\y=0+6
\\y=6$
Thus, the y-intercept is $(0, 6)$.
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.
