Answer
$\color{blue}{y=2x-3}$
Work Step by Step
RECALL:
(1) The slope-intercept form of a line's equation is:
$y=mx+b$
where $m$=slope and $b$ = y-intercept.
(2) Parallel lines have the same (equal) slopes.
Line $L$ is parallel to the line $y=2x$, whose slope is $2$.
Since $L$ is parallel to this line, $L$ also has a slope of $2$.
Thus, the tentative equation of the line is $y=2x+b$.
To find the value of $b$, substitute the x and y values of the point $(3, 3)$ into the tentative equation above to obtain:
$y=2x+b
\\3=2(3) + b
\\3 = 6+b
\\3-6=b
\\-3=b$
Therefore, the equation of line $L$ is $\color{blue}{y=2x-3}$.
