Answer
$y=\dfrac{2}{5}x+5$
Work Step by Step
A $y-$intecept of $(
0,5
)$ implies that $b=
5
.$
Using $y=mx+b$ or the slope-intercept form of linear equations where $b$ is the $y-$intercept and $m$ is the slope, the equation of the line with $m=
\dfrac{2}{5}
,$ and $b=
5
$ is
\begin{array}{l}\require{cancel}
y=\dfrac{2}{5}x+5
.\end{array}