Chapter 8, Problem 17SGR

To determine

To find: four solutions and write as ordered pairs.

Answer to Problem 17SGR

The four ordered pair solution of the equation $y=-5x$ is: $\left(-1,5\right),\left(0,0\right),\left(1,-5\right),\left(2,-10\right)$

Explanation of Solution

Given:

Consider the equation: $y=-5x$

Calculation:

Take different value of x and solve for y

Put $x=-1$ inequation.

  $\begin{array}{c}y=-5\left(-1\right)\\ =5\end{array}$

Now, put $x=0$ in equation.

  $\begin{array}{c}y=-5\left(0\right)\\ =0\end{array}$

Put $x=1$ in equation.

  $\begin{array}{c}y=-5\left(1\right)\\ =-5\end{array}$

Put $x=2$ in equation.

  $\begin{array}{c}y=-5\left(2\right)\\ =-10\end{array}$

Therefore, the complete table that shows different value of x and y is as follow:

x	y
$-1$	5
0	0
1	$-5$
2	$-10$

Conclusion:

Therefore, the four ordered pair solution of the equation $y=-5x$ is: $\left(-1,5\right),\left(0,0\right),\left(1,-5\right),\left(2,-10\right)$