Question

Write the equation of the line in point-slope form that passes through (1, -4) and has a slope of 1/4

Answer 1

Hello!

Point-slope form is
`y-b=m(x-a)`, where m is the slope and (a, b) is a point on the graph.

You are given the slope (
`(1)/(4)`) and a point on the graph (1, -4), so you can just substitute the values into the form, like so:


`y-(-4)= (1)/(4) (x-1)`

Simplify:


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

And that's it!

Answer:

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