Chapter 8.2, Problem 10E

To determine

To graph:

The given equation.

Answer to Problem 10E

The graph of our given equation would look like:

Explanation of Solution

Given:

An equation: $3x+2y=-2$

Calculation:

We can see that our given equation is in standard form of equation that is $Ax+By=C$ .

Let us convert our given equation in slope-intercept form as:

  $\begin{array}{l}3x+2y=-2\left(\text{Given equation}\right)\\ 3x-3x+2y=-2-3x\left(\text{Subtracting }3x\text{ from both sides}\right)\\ 2y=-3x-2\\ y=-\frac{3}{2}x-1\left(\text{Dividing both sides by 2}\right)\end{array}$

We can that slope of our given line is $-\frac{3}{2}$ and the y- interceptis at point $(0,-1)$ .

Upon graphing our given equation, we will get our required graph as shown below: