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

1 Answer
Apr 23, 2017

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 = (6-2x)/3

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

If we let x = 2, then "y" would equal 2/3

y = (6-2(2))/3

y = (6-4)/3

y = (2)/3

This tells us that one of the points on our graph is
x = 2 , y = 2/3
or ( 2, 2/3 )
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 10/3

y = (6-2(-2))/3 [Remember -2 * -2 is +4]

y = (6+4)/3

y = (10)/3

So, x = -2, y = 10/3
or ( -2, 10/3 )
or ( -2, 3.33) [approximately]