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Write an equation of the line passing through point P that is parallel to the given line.
P(0,4);y=2x

1 Answer

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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

<95141404393>

User Brian Booth
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