Question

Find the intercepts of the equation.

$x+2y=6$

Short answer

The x- and y- intercept is $6$and $3$ respectively

Step-by-step solution

Step 1. Given Information 

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

$x+2y=6$

Step 2. 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.

Sep 3. Calculation

For x- intercept,

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

$\begin{array}{rcl}x+0& =& 6\\ x& =& 6\end{array}$

For y- intercept,

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

$\begin{array}{rcl}0+2y& =& 6\\ y& =& 3\end{array}$