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

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 $y$:

$- 4 x + 2 y = 8$

$2 y = 4 x + 8$

$y = 2 x + 4$

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

$y = m x + b$, where $m$ is the slope and $b$ is the y intercept.

We can first find the first point, the y-intercept, as $\left(0 , 4\right)$ - 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 $\text{rise"/"run}$ - 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 $\left(1 , 6\right)$. Connect those two points with a straightedge. It should look like this:

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