Answer
$\color{blue}{y=2x+4}$
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.
(3) Perpendicular lines have slopes whose product is $-1$ (negative reciprocals of each other).
The line is parallel to the line $y=2x$ (whose slope is $2$)
This means that the line we are looking for 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 given point to the tentative equation above to obtain:
$y=2x+b
\\2=2(-1)+b
\\2 = -2+b
\\2+2=b
\\4=b$
Therefore, the equation of the line is:
$\color{blue}{y=2x+4}$
