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 ($\frac{1}{4}$) and a point on the graph (1, -4), so you can just substitute the values into the form, like so:

$y-(-4)= \frac{1}{4} (x-1)$

Simplify:

$y+4= \frac{1}{4} (x-1)$

And that's it!

Answer:
$y+4= \frac{1}{4} (x-1)$