Answer
x-intercept = $-\frac{5}{2}$
y-intercept = -10
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:
$y=-4x-10
\\0=-4x-10
\\4x=-10
\\x=\frac{-10}{4}
\\x=-\frac{5}{2}$
The x-intercept point is $(-\frac{5}{2}, 0)$.
y-intercept:
$y=-4x-10
\\y=-4(0)-10
\\y=0-10
\\y=-10$
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)