Answer
$y=\dfrac{5}{7}x+4$
Work Step by Step
Using $y=mx+b$ where $m$ is the slope and $b$ is the $y$-intercept, then the equation of the line with the given slope equal to $
\dfrac{5}{7}
$ and the given $y-$intercept equal to $\left(0,
4
\right)$, is
\begin{array}{l}
y=\dfrac{5}{7}x+4
.\end{array}