Line equations from point/slope

Answer:
The answer is
[tex]y = \frac{1}{4} x + 3[/tex]
Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:
[tex]y= \frac{1}{4}x + b \\ 2 = \frac{1}{4} ( - 4) + b \\ 2 = - 1 + b \\ \frac{ + 1 = + 1 \: \: \: \: \: \: \: \: }{3 = b} [/tex]
We found the y-intercept, so now we plug it in it's right full spot in the formula.
[tex]y = \frac{1}{4} x + 3[/tex]