# How do you graph the equation #2x+3y=6#?

##### 1 Answer

graph{2x+3y=6 [-10, 10, -5, 5]}

#### Explanation:

You can start by solving for "y".

2x + 3y = 6 [Subtract 2x from both sides]

3y = 6 - 2x [Divide both sides by 3]

y =

Now we can assign values to **"x"** in order to get "y".

Like this.

If we let x = 2, then "y" would equal

y =

y =

y =

This tells us that one of the points on our graph is

x = 2 , y =

or ( 2,

or ( 2, 0.67) [approximately]

Keep giving "x" values until you have the graph that you need. I like to use the numbers -2, -1, 0, 1, and 2. Those five values for "x" should be enough to give you a nice graph. I'll do one more.

If we let x = -2, then "y" would equal

y =

y =

y =

So, x = -2, y =

or ( -2,

or ( -2, 3.33) [approximately]