Answer:
y = 2x +4
Explanation:
You want an equation of the line through point P(0, 4) parallel to y = 2x.
Parallel line
The parallel line will have the same slope, so can be written in the form ...
y = 2x +b
where 'b' is the y-intercept.
Intercept
The point (0, 4) is the y-intercept, telling you b=4.
An equation for the line is y = 2x +4.
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Additional comment
"An equation" covers a lot of territory. The equation we found can be written several other ways, including ...
- y - 2x - 4 = 0
- 2x -y = -4 . . . . . . . . standard form
- 2x -y +4 = 0 . . . . . . general form
- x/(-2) +y/(4) = 1 . . . . intercept form
- y -4 = 2x . . . . . . . . . point-slope form
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