Question

How do you graph `y=1/4x-4` by plotting points?

Answer 1

You need only two points to plot your function, that represents a straight line.

Explanation:

This is a linear function that will give you, when plotted, a straight line.
First you can see that the slope of your line is positive `m=1/4` so your line is "going up" (from left to right).
Also, the line crosses the y-axis at `-4`.
So basically when `x=0` then `y=-4`. This is one of the points you need.
To plot a line you need only 2 points, so, the next could be chosen at `x=4` that gives you:
`x=4` then `y=1/4*4-4=1-4=-3`

So, you can now plot your line through points of coordinates:
`P_1`: `x=0, y=-4`
`P_2`: `x=4, y=-3`