Question

How do you use the intercepts to graph the equation: 4x+3y=12?

Answer 1

Find the `x` and `y` intercepts, plot them on the `xy` coordinate grid, and connect them with a line.

Explanation:

Graph `4x+3y=12` using intercepts.

To find the `x` intercept, set `y=color(red)0` and solve for `x`.

`4x+3(color(red)0)=12`

`4x=12`

`(4x)/4=12/4`

`x=3`

The `x` intercept is `(3,0)`.

To find the `y` intercept, set `x=color(blue)0` and solve for `y`.

`4(color(blue)0)+3y=12`

`3y=12`

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

`y=4`

The `y` intercept is #(0,4).

Next, plot each of these points and connect them with a line.