Chapter 13.9, Problem 2ST2

To determine

To graph the line using graphing device.

Explanation of Solution

Given information : Graph the line $2x+3y=6$ .

Graph : The graph of the line is obtained as:

  

Interpretation :

When, $x=0$

  $\begin{array}{l}2x+3y=6\\ 2\cdot 0+3y=6\\ 3y=6\\ y=\frac{6}{3}=2\end{array}$

When, $y=0$

  $\begin{array}{l}2x+3y=6\\ 2x+3\cdot 0=6\\ 2x=6\\ x=\frac{6}{2}=3\end{array}$

$x$	$0$	$3$
$y$	$2$	$0$

From the above graph, it can be observed that the line intersects the both $x$ -axis and $y$ -axis at the point A $(3,0)$ and B $(0,2)$ respectively.