Answer
x-intercept = 2
y-intercept = 6
Refer to the image below for the graph.
Work Step by Step
RECALL:
(i) The x-intercept is the x-coordinate of the point where the graph crosses the x-axis. The x-intercept can be found by setting y=0.
(ii) The y-intercept is the y-coordinate of the point where the graph crosses the y-axis. The y-intercept can be found by setting x=0.
Thus,
x-intercept:
$3x+y=6
\\3x+0=6
\\3x=6
\\x=\frac{6}{3}
\\x=2.$
The x-intercept point is (2, 0).
y-intercept:
$3x+y=6
\\3(0)+y=6
\\0+y=6
\\y=6.$
The y-intercept point is (0, 6).
Plot this points then connect them using a line to complete the graph.
(Refer to the attached image in the answer part for the graph)
