Question

Write the slope intercept equation through the point (1,2) and it’s parallel to the line y=1+4x

Answer 1

Given:

Line equation, y=1+4x

The point, (1,2)

To find the slope intercept form:

The general slope intercept form is, y=mx+b.

First to find m:

From the line equation,

y=4x+1

We have, m=4

Next to find b:

Substitute m=4, and (1,2) in the general intercept form is,

`\begin{gathered} (2)=4(1)+b \\ 2=4+b \\ b=-2 \end{gathered}`

Now, substitute m=4 and b=-2 in the slope intercept form

Thus, the slope intercept form is,

`y=4x-2`