Graph Using a Table of Values y=7.2+4(x-2)

$y = 7.2 + 4 (x - 2)$

Step 1

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

$y = 7.2 + 4 ((- 2) - 2)$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = 7.2 + 4 (- 2 - 2)$

Remove parentheses.

$y = 7.2 + 4 ((- 2) - 2)$

Simplify $7.2 + 4 ((- 2) - 2)$ .

Simplify each term.

Subtract $2$ from $- 2$ .

$y = 7.2 + 4 \cdot - 4$

Multiply $4$ by $- 4$ .

$y = 7.2 - 16$

Subtract $16$ from $7.2$ .

$y = - 8.8$

Step 3

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

$y = 7.2 + 4 ((- 1) - 2)$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = 7.2 + 4 (- 1 - 2)$

Remove parentheses.

$y = 7.2 + 4 ((- 1) - 2)$

Simplify $7.2 + 4 ((- 1) - 2)$ .

Simplify each term.

Subtract $2$ from $- 1$ .

$y = 7.2 + 4 \cdot - 3$

Multiply $4$ by $- 3$ .

$y = 7.2 - 12$

Subtract $12$ from $7.2$ .

$y = - 4.8$

Step 5

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

$y = 7.2 + 4 ((0) - 2)$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 7.2 + 4 (0 - 2)$

Remove parentheses.

$y = 7.2 + 4 ((0) - 2)$

Simplify $7.2 + 4 ((0) - 2)$ .

Simplify each term.

Subtract $2$ from $0$ .

$y = 7.2 + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$y = 7.2 - 8$

Subtract $8$ from $7.2$ .

$y = - 0.8$

Step 7

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

$y = 7.2 + 4 ((1) - 2)$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 7.2 + 4 (1 - 2)$

Remove parentheses.

$y = 7.2 + 4 ((1) - 2)$

Simplify $7.2 + 4 ((1) - 2)$ .

Simplify each term.

Subtract $2$ from $1$ .

$y = 7.2 + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$y = 7.2 - 4$

Subtract $4$ from $7.2$ .

$y = 3.2$

Step 9

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

$y = 7.2 + 4 ((2) - 2)$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 7.2 + 4 (2 - 2)$

Remove parentheses.

$y = 7.2 + 4 ((2) - 2)$

Simplify $7.2 + 4 ((2) - 2)$ .

Simplify each term.

Subtract $2$ from $2$ .

$y = 7.2 + 4 \cdot 0$

Multiply $4$ by $0$ .

$y = 7.2 + 0$

Add $7.2$ and $0$ .

$y = 7.2$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 8.8 \\ - 1 & - 4.8 \\ 0 & - 0.8 \\ 1 & 3.2 \\ 2 & 7.2 \end{array}$

Step 12

Graph Using a Table of Values y=7.2+4(x-2)

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