Graph Using a Table of Values y=2(3x)

$y = 2 (3 x)$

Step 1

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

$y = 2 (3 (- 2))$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 3 \cdot - 2$

Multiply $2 \cdot 3 \cdot - 2$ .

Multiply $2$ by $3$ .

$y = 6 \cdot - 2$

Multiply $6$ by $- 2$ .

$y = - 12$

Step 3

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

$y = 2 (3 (- 1))$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 3 \cdot - 1$

Multiply $2 \cdot 3 \cdot - 1$ .

Multiply $2$ by $3$ .

$y = 6 \cdot - 1$

Multiply $6$ by $- 1$ .

$y = - 6$

Step 5

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

$y = 2 (3 (0))$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 3 \cdot 0$

Remove parentheses.

$y = 2 (3 (0))$

Multiply $2 (3 (0))$ .

Multiply $3$ by $0$ .

$y = 2 \cdot 0$

Multiply $2$ by $0$ .

$y = 0$

Step 7

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

$y = 2 (3 (1))$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 3 \cdot 1$

Remove parentheses.

$y = 2 (3 (1))$

Multiply $2 (3 (1))$ .

Multiply $3$ by $1$ .

$y = 2 \cdot 3$

Multiply $2$ by $3$ .

$y = 6$

Step 9

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

$y = 2 (3 (2))$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 2 \cdot 3 \cdot 2$

Remove parentheses.

$y = 2 (3 (2))$

Multiply $2 (3 (2))$ .

Multiply $3$ by $2$ .

$y = 2 \cdot 6$

Multiply $2$ by $6$ .

$y = 12$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 12 \\ - 1 & - 6 \\ 0 & 0 \\ 1 & 6 \\ 2 & 12 \end{array}$

Step 12

Graph Using a Table of Values y=2(3x)

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