Chapter 8.1, Problem 74CCR

To determine

The value that complete the table at the right for $y=-4x$

Answer to Problem 74CCR

The table is

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

Explanation of Solution

Given information:

The expression, $y=-4x$

  

Concept used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
• Left distributive property: $a\left(b+c\right)=a\cdot b+a\cdot c$

Calculation:

In order to complete the table we put the values of x in equation $y=-4x$ as shown below

  $\begin{array}{c}x=-2\\ y=-4x\\ =-4\left(-2\right)\\ y=8\\ x=-1\\ y=-4x\\ =-4\left(-1\right)\\ y=4\\ x=0\\ y=-4x\\ =-4\cdot 0\\ y=0\\ x=1\\ y=-4x\\ =-4\cdot 1\\ y=-4\end{array}$

Thus, the table is below

X	$-2$	$-1$