Question

What are the intercepts of `3x+2y=12`?

Answer 1

The x-intercept is `(4,0)`.
.
The y-intercept is `(0,6)`.

Explanation:

Given:

`3x+2y=12`

This is the formula for a linear equation in standard form. This is the easiest equation for finding the intercepts. To find the x- and y-intercepts, substitute `0` for one variable, and solve for the other.

X-intercept: value of `x` when `y=0`

Substitute `0` for `y` and solve for `x`.

`3x+2(0)=12`

`3x=12`

Divide both sides by `3`.

`x=12/3`

`x=4`

The x-intercept is `(4,0)`.

Y-intercept: value of `y` when `x=0`

Substitute `0` for `x` and solve for `y`.

`(0)+2y=12`

`2y=12`

Divide both sides by `2`.

`y=12/2`

`y=6`

The y-intercept is `(0,6)`.

graph{3x+2y=12 [-10.92, 11.58, -3.825, 7.425]}