#### Answer

x-intercept = $-2.5$
y-intercept = $-10$
Refer to the image below for the graph.

#### Work Step by Step

RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept.
The given equation is in slope-intercept form with $b=-10$
Thus, the y-intercept of the line is $-10$.
To find the $x$ intercept, set $y=0$ then solve for $x$ to obtain:
$y=-4x-10
\\0=-4x-10
\\0+10=-4x-10+10
\\10=-4x
\\\dfrac{10}{-4} = \dfrac{-4x}{-4}
\\-2.5=x$
The x-intercept is $-2.5$.
To draw the graph of the equation, plot the x-intercept point $(-2.5, 0)$ and the y-intercept point $(0, -10)$ and connect them using a straight line.
(refer to the attached image in the answer part above)