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

1 Answer
Feb 3, 2015

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

Step 1: move the #x#'s to the other side:
#2x+4y=-9->4y=-2x-9#
Step 2: Divide everything by 4 to get a clean #y#
#y=-1/2 x - 2 1/4#

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

#x=0->y=-2 1/4-> (0,-2 1/4)#

#x=4->y=-2-2 1/4=-4 1/4->(4,-4 1/4)#

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