NadalynW561362 NadalynW561362
  • 25-10-2022
  • Mathematics
contestada

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

Write the slope intercept equation through the point 12 and its parallel to the line y14x class=

Respuesta :

KartierT405697 KartierT405697
  • 25-10-2022

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,

[tex]\begin{gathered} (2)=4(1)+b \\ 2=4+b \\ b=-2 \end{gathered}[/tex]

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

Thus, the slope intercept form is,

[tex]y=4x-2[/tex]

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