Chapter 8, Problem 5PT

To determine

To find: four solutions and write as ordered pairs

Answer to Problem 5PT

The four ordered pair solution of the equation $y=-4x$ is: $\left(-1,4\right),\left(0,0\right),\left(1,-4\right),\left(2,-8\right)$

Explanation of Solution

Given:

Consider the equation: $y=-4x$

Calculation:

Take different value of x and solve for y

Put $x=-1$ in equation.

  $\begin{array}{c}y=-4\left(-1\right)\\ =4\end{array}$

Now, put $x=0$ in equation.

  $\begin{array}{c}y=-4\left(0\right)\\ =0\end{array}$

Put, $x=1$ in equation.

  $\begin{array}{c}y=-4\left(1\right)\\ =-4\end{array}$

Put $x=2$ in equation.

  $\begin{array}{c}y=-4\left(2\right)\\ =-8\end{array}$

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

x	y
$-1$	4
0	0
1	$-4$
2	$-8$

Conclusion:

Therefore, the four ordered pair solution of the equation $y=-4x$ is: $\left(-1,4\right),\left(0,0\right),\left(1,-4\right),\left(2,-8\right)$