Question

How do you graph `2x+3y=12`?

Answer 1

By rebuilding it to an easier formula.

Explanation:

This formula can be "rebuild" into the regular form of y = a*x + b

We substract 2x from each side of the equation, we then get;

3y = -2x + 12

We then divide everything by 3.

The formula then looks like this;

y = (-2/3 * x) + 12, which you should be able to graph.

Answer 2

See a solution process below:

Explanation:

First, solve for two points which solve the equation and plot these points:

First Point: For `x = 0`

`(2 * 0) + 3y = 12`

`0 + 3y = 12`

`3y = 12`

`(3y)/color(red)(3) = 12/color(red)(3)`

`y = 4` or `(0, 4)`

Second Point: For `y = 0`

`2x + (3 * 0) = 12`

`2x + 0 = 12`

`2x = 12`

`(2x)/color(red)(2) = 12/color(red)(2)`

`x = 6` or `(6, 0)`

We can next plot the two points on the coordinate plane:

graph{(x^2+(y-4)^2-0.035)((x-6)^2+y^2-0.035)=0 [-10, 10, -5, 5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(2x + 3y - 12)(x^2+(y-4)^2-0.035)((x-6)^2+y^2-0.035)=0 [-10, 10, -5, 5]}