Answer
x-intercept = 6
$\\$y-intercept = -10
Refer to the attached image for the graph.
Work Step by Step
RECALL:
(i) The x-intercept can be found by setting y=0 then solving for x.
(ii) The y-intercept can be found by setting x=0 then solving for y.
Solve for the intercepts to have:
x-intercept:
$\frac{1}{3}x-\frac{1}{5}y-2=0
\\\frac{1}{3}x - \frac{1}{5}(0)-2=0
\\\frac{1}{3}x-0-2=0
\\\frac{1}{3}x-2=0
\\\frac{1}{3}x=2
\\x = 2(3)
\\x=6$
The x-intercept point is (6, 0).
y-intercept:
$\frac{1}{3}x-\frac{1}{5}y-2=0
\\\frac{1}{3}(0) - \frac{1}{5}y-2=0
\\0-\frac{1}{5}y-2=0
\\-\frac{1}{5}y-2=0
\\-2=0+\frac{1}{5}y
\\-2=\frac{1}{5}y
\\5(-2) = y
\\-10=y$
The y-intercept point is (0, -10).
Plot these points and connect them using a line.
(refer to the attached image in the answer part)
