Answer
Slope: $1$
$y$-intercept: $4$
Work Step by Step
The slope-intercept form of a linear equation of a non vertical line is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.
We use this fact to find the slope and $y$-intercept of $y=x+4$
We rewrite using a coefficient for $x$: $y=1x+4$
Since $1$ takes the place of $m$, it is the slope.
Since $4$ takes the place of $b$, it is the $y$-intercept.