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

Answer:

Graph it!

Step-by-step 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

Answer:

$y=2x+7$

Step-by-step 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)