# How do you graph 2x+4y=-4 using intercepts?

Aug 20, 2017

Start by re-writing it as y = some function of x

#### Explanation:

like so:

$2 x + 4 y = - 4$

...subract 2x from both sides:

$4 y = - 2 x - 4$

...divide both sides by 4:

$y = \left(- \frac{x}{2}\right) - 1$

Now, the y intercept is the value of y where x = 0 -

$y = 0 - 1 = - 1$

For the x intercept, set y = 0 and solve for x:

$0 = \left(- \frac{x}{2}\right) - 1$

$\frac{x}{2} = - 1$

$x = - 2$

so now you have your x & y intercepts. On your graph, plot points (-2, 0) and (0,-1)

And draw your line extending through these points.
graph{y = (-x/2)-1 [-10, 10, -5, 5]}