Graph Using a Table of Values y=-x-4

$y = - x - 4$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = - (- 2) - 4$

Step 2

Simplify $- (- 2) - 4$ .

Multiply $- 1$ by $- 2$ .

$y = 2 - 4$

Subtract $4$ from $2$ .

$y = - 2$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = - (- 1) - 4$

Step 4

Simplify $- (- 1) - 4$ .

Multiply $- 1$ by $- 1$ .

$y = 1 - 4$

Subtract $4$ from $1$ .

$y = - 3$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = - (0) - 4$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - (0) - 4$

Simplify $- (0) - 4$ .

Multiply $- 1$ by $0$ .

$y = 0 - 4$

Subtract $4$ from $0$ .

$y = - 4$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y = - (1) - 4$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - (1) - 4$

Simplify $- (1) - 4$ .

Multiply $- 1$ by $1$ .

$y = - 1 - 4$

Subtract $4$ from $- 1$ .

$y = - 5$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y = - (2) - 4$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - (2) - 4$

Simplify $- (2) - 4$ .

Multiply $- 1$ by $2$ .

$y = - 2 - 4$

Subtract $4$ from $- 2$ .

$y = - 6$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 3 \\ 0 & - 4 \\ 1 & - 5 \\ 2 & - 6 \end{array}$

Step 12

Graph Using a Table of Values y=-x-4

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