Question

How do you graph the equation y=x?

Answer 1

See below for a couple of suggestions:

Explanation:

We can do this a couple of different ways.

Slope intercept form

We can rewrite `y=x` into the general form of a slope-intercept equation `y=mx+b`, with `m=1, b=0`:

`y=1x+0`

This gives us the y-intercept of 0 (and so we have the point `(0,0)`) and slope of 1 - which means that for every point we move to the right, we move 1 up `("slope" ="rise"/"run"=(y_2-y_1)/(x_2-x_1))`.

Point plot

We can also see that for every value we choose of `x`, we will get the exact same value for `y` and can therefore plot points such as `(0,0), (2,2), (-3, -3)` and so forth.

In the end, it looks like this:

graph{x [-10, 10, -5, 5]}