Answer
$\color{blue}{y=2x}$
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).
Write the given line in slope-intercept form to obtain:
$2x-y=-2
\\2x+2=y
\\y=2x+2$
This line has a slope of $2$.
Since the line we are looking for is parallel to the line above, then its slope is also $2$.
Thus, the tentative equation of the line is:
$y=2x+b$
The line contains the point $(0, 0)$.
This means that the y-intercept of the line is $0$.
Therefore, the equation of the line is:
$y=2x+0
\\\color{blue}{y=2x}$
