Question

Write the equation of the line that is parallel to the line y = 2x + 1 and goes through the point (4,1)

Answer 1

Graph it!

Explanation:

Hi Kylie! Is there supposed to be a graph or something with this question? If there is a graph, you could figure this out really easily with the help of a graph! If not, you can use desmos.com

All you have to do is type in y=2x+1 and it'll graph it for you!

Hope this helps!

Answer 2

`y=2x+7`

Explanation:

Parallel lines have the same slope.

To have the line go through the point (4,1), we could use point-slope form, which is
`y-y_(1)=m(x-x_(1))`.
`(x_(1) ,y_(1))` being a known point,
`(x,y)` any other point, and
`m` the slope (of the line).

Substitute '1' for '
`y_(1)`' and '4' for '
`x_(1)`'.

`y-1=m(x-4)`

Because our slope is the same,
`m=2`.

`y-1=2(x-4)`

`y-1=2x-8`

`y=2x-7` (slope intercept form)