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

Feb 3, 2015

You first have to convert this to a $y =$ problem

Step 1: move the $x$'s to the other side:
$2 x + 4 y = - 9 \to 4 y = - 2 x - 9$
Step 2: Divide everything by 4 to get a clean $y$
$y = - \frac{1}{2} x - 2 \frac{1}{4}$

Now you take two convenient $x$'s and plu them into the equation
(multiples of 4 seem handy here)

$x = 0 \to y = - 2 \frac{1}{4} \to \left(0 , - 2 \frac{1}{4}\right)$

$x = 4 \to y = - 2 - 2 \frac{1}{4} = - 4 \frac{1}{4} \to \left(4 , - 4 \frac{1}{4}\right)$

And then draw a line connecting these points
graph{-0.5x - 2.25 [-10, 10, -5, 5]}