Question

How do you graph the equation `-4x+2y=8`?

Answer 1

See below:

Explanation:

There are many ways to go about it. I'm going to show how to do it by transforming the equation into a slope-intercept form.

First, we need to solve for `y`:

`-4x+2y=8`

`2y=4x+8`

`y=2x+4`

This equation is now in slope-intercept form, which has the general form of:

`y=mx+b`, where `m` is the slope and `b` is the y intercept.

We can first find the first point, the y-intercept, as `(0,4)` - that is, when `x=0, y=4`.

Next to do is work with the slope. In this case, `m=2`. Slope can be written as `"rise"/"run"` - and so a slope of 2 means the next point to find will be up 2 and to the right 1 of our y-intercept. This puts it at `(1,6)`. Connect those two points with a straightedge. It should look like this:

graph{2x+4 [-10, 10, -7, 7]}