Question

How do you write an equation for the line that is parallel to `y=2x+7` and passes through `(3,11)`?

Answer 1

`y = 2x + 5`

Explanation:

Parallel lines have the same slope. This means our line has a slope of 2.

Using the general form for the equation of a line we have:

`y - b = m(x-a)`

`y - 11 = 2(x - 3)`

`y = 2x + 5`