Chapter 8, Problem 21SGR

To determine

To graph: the given equation.

Answer to Problem 21SGR

  

Explanation of Solution

Given:

Consider the equation: $y=-2x$

Calculation:

First step is to find at least four solution of equation.

Thus, take different value of x and solve for y

Put $x=-2$ in equation.

  $\begin{array}{c}y=-2\left(-2\right)\\ =4\end{array}$

Now, put $x=0$ in equation.

  $\begin{array}{c}y=-2\left(0\right)\\ =0\end{array}$

Put $x=2$ in equation.

  $\begin{array}{c}y=-2\left(2\right)\\ =-4\end{array}$

Put $x=3$ in equation.

  $\begin{array}{c}y=-2\left(3\right)\\ =-6\end{array}$

Hence, the four ordered pair solution of the equation is $\left(-2,4\right),\left(0,0\right),\left(2,-4\right),\left(3,-6\right)$

Now, plot the points on the maple and draw the line.

  

Conclusion:

Hence, the graph of $y=-2x$ is shown.