Question

What is 2x-y=4?

Answer 1

See below:

Explanation:

This equation describes a line. We can graph a couple of points and then connect them with a line - the line (as it heads off to positive and negative infinity) will contain all the solutions.

To do that, I like to put the equation into point slope form, where the general form is:

`y=mx+b`, with `m="slope" and b=y " intercept"`

`y=2x-4`

We can graph point `(0,-4)` since that is the `y` intercept. We can also plot a point using the slope - we know that for every point we move to the right (`x` goes up by 1), we move up by 2 (`y` increases):

`(0+1,-4+2)=(1,-2)`

Let's plot those and connect them:

graph{((x-0)^2+(y+4)^2-.1)((x-1)^2+(y+2)^2-.1)(y-2x+4)=0}