Hello!
Point-slope form is [tex]y-b=m(x-a)[/tex], where m is the slope and (a, b) is a point on the graph.
You are given the slope ([tex] \frac{1}{4} [/tex]) and a point on the graph (1, -4), so you can just substitute the values into the form, like so:
[tex]y-(-4)= \frac{1}{4} (x-1)[/tex]
Simplify:
[tex]y+4= \frac{1}{4} (x-1)[/tex]
And that's it!
Answer:
[tex]y+4= \frac{1}{4} (x-1)[/tex]
