Answer
$\color{blue}{y=2x-11}$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is:
$y=mx+b$
where $m$=slope and $b$ = y-intercept.
The line has a slope of $2$, so the tentative equation of the line is:
$y=2x+b$
To find the value of $b$, substitute the x and y values given into the tentative equation above to obtain:
$y=2x+b
\\-3=2(4)+b
\\-3=8+b
\\-3-8=b
\\-11=b$
Therefore, the equation of the line is $\color{blue}{y=2x-11}$.