Answer
$y=2x+13$.
Work Step by Step
Slope: $2$; contains point $\left( -3,7 \right)$.
Put the values in the point slope form of straight line.
$\begin{align}
& \left( y-{{y}_{1}} \right)=m\left( x-{{x}_{1}} \right) \\
& y-7=2\left( x+3 \right)
\end{align}$
Simplify further.
$\begin{align}
& y-7=2x+6 \\
& y=2x+13
\end{align}$
Thus, the equation in slope-intercept form of the line is $y=2x+13$.
