Graph Using a Table of Values f(x)=-5(x+7)

$f (x) = - 5 (x + 7)$

Step 1

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

$y = - 5 ((- 2) + 7)$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = - 5 (- 2 + 7)$

Remove parentheses.

$y = - 5 ((- 2) + 7)$

Simplify $- 5 ((- 2) + 7)$ .

Add $- 2$ and $7$ .

$y = - 5 \cdot 5$

Multiply $- 5$ by $5$ .

$y = - 25$

Step 3

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

$y = - 5 ((- 1) + 7)$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = - 5 (- 1 + 7)$

Remove parentheses.

$y = - 5 ((- 1) + 7)$

Simplify $- 5 ((- 1) + 7)$ .

Add $- 1$ and $7$ .

$y = - 5 \cdot 6$

Multiply $- 5$ by $6$ .

$y = - 30$

Step 5

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

$y = - 5 ((0) + 7)$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 5 (0 + 7)$

Remove parentheses.

$y = - 5 ((0) + 7)$

Simplify $- 5 ((0) + 7)$ .

Add $0$ and $7$ .

$y = - 5 \cdot 7$

Multiply $- 5$ by $7$ .

$y = - 35$

Step 7

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

$y = - 5 ((1) + 7)$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 5 (1 + 7)$

Remove parentheses.

$y = - 5 ((1) + 7)$

Simplify $- 5 ((1) + 7)$ .

Add $1$ and $7$ .

$y = - 5 \cdot 8$

Multiply $- 5$ by $8$ .

$y = - 40$

Step 9

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

$y = - 5 ((2) + 7)$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 5 (2 + 7)$

Remove parentheses.

$y = - 5 ((2) + 7)$

Simplify $- 5 ((2) + 7)$ .

Add $2$ and $7$ .

$y = - 5 \cdot 9$

Multiply $- 5$ by $9$ .

$y = - 45$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 25 \\ - 1 & - 30 \\ 0 & - 35 \\ 1 & - 40 \\ 2 & - 45 \end{array}$

Step 12

Graph Using a Table of Values f(x)=-5(x+7)

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