Answer
$y=\dfrac{2}{5}x+4$ or $\dfrac{2}{5}x-y+4=0$
Work Step by Step
Slope $\frac{2}{5};$ $y$-intercept $4$
We can just use the slope-intercept form of the equation of a line, which is $y=mx+b$, where $m$ is the slope and $b$ is the $y$-intercept.
Both the slope and the $y$-intercept are given for this problem, so just substitute those values into the formula to obtain the equation of the line:
$y=\dfrac{2}{5}x+4$ or, in general form, $\dfrac{2}{5}x-y+4=0$
