Question

Line equations from point/slope

Answer 1

The answer is

`y = (1)/(4) x + 3`

Explanation:

Plug in and solve the equation. We are trying to find the y-intercept:

`y= (1)/(4)x + b \\ 2 = (1)/(4) ( - 4) + b \\ 2 = - 1 + b \\ ( + 1 = + 1 \: \: \: \: \: \: \: \: )/(3 = b)`

We found the y-intercept, so now we plug it in it's right full spot in the formula.

`y = (1)/(4) x + 3`