Chapter 8.3, Problem 32PPS

To determine

To calculate: To graph the equation $x+y=-6$

Answer to Problem 32PPS

Graph for equation is plotted.

Explanation of Solution

Given information: Equation is $x+y=-6$

Calculation:

Equation is given as

  $x+y=-6$

Rewrite the above equation as follows:

  $y=-6-x$

When $x=0$

  $\begin{array}{l}y=-6-0\\ y=-6\end{array}$

When $x=1$

  $\begin{array}{l}y=-6-1\\ y=-7\end{array}$

When $x=2$

  $\begin{array}{l}y=-6-2\\ y=-8\end{array}$

Thus, four solutions are $\left(0,-6\right),\left(1,-7\right),\left(2,-8\right)$

On plotting the points in graph,