Chapter EP, Problem 2.2.10EP

To determine

To find: The $x$ -intercept and the $y$ -intercept of the graph of given equation, and hence graph the equation using intercepts.

Answer to Problem 2.2.10EP

The ordered pairs of the $x$ -intercept and the $y$ -intercept are $\left(0,6\right),\left(-4,0\right)$ and the graph is given below.

Explanation of Solution

Given:

The given equation is:

  $3x-2y=-12\dots \left(1\right)$

In order to find the $x$ -intercept and the $y$ -intercept of the graph of given equation, first substitute $x=0$ and calculate $y$ -intercept and then substitute $y=0$ and calculate $x$ -intercept .

The table is given as:

$x$	$0$	$-4$
$y$	$6$	$0$

Therefore the ordered pairs of $x$ -intercept and the $y$ -intercept are $\left(0,6\right),\left(-4,0\right)$ .

The graph of above equation is given as:

Therefore the graph is given above.