Question

Find the intercepts of the equation

$2x+3y=12$

Short answer

The x- and y- intercept is $6$and $4$respectively

Step-by-step solution

Given Information

The equation of a line for which the x- and y- intercept has to be determined is

$2x+3y=12$

Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively.

Calculation

For x- intercept

Put $y=0$in the given equation, we get

$\begin{array}{rcl}2x& =& 12\\ x& =& 6\end{array}$

For y- intercept

Put $x=0$in the given equation, we get

$\begin{array}{rcl}3y& =& 12\\ y& =& 4\end{array}$