Answer
Slope $m=-\frac{1}{4}$ and y-intercept $b=-\frac{5}{2}$.
Work Step by Step
The slope-intercept form is
$y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.
Given that $x+4y=-10$ which can be written as $y=-\frac{1}{4}x-\frac{5}{2}$.
Comparing with the slope-intercept form, we get
$m=-\frac{1}{4}$ and $b=-\frac{5}{2}$.