Graph Using a Table of Values y=3x-6

$y = 3 x - 6$

Step 1

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

$y = 3 (- 2) - 6$

Step 2

Simplify $3 (- 2) - 6$ .

Multiply $3$ by $- 2$ .

$y = - 6 - 6$

Subtract $6$ from $- 6$ .

$y = - 12$

Step 3

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

$y = 3 (- 1) - 6$

Step 4

Simplify $3 (- 1) - 6$ .

Multiply $3$ by $- 1$ .

$y = - 3 - 6$

Subtract $6$ from $- 3$ .

$y = - 9$

Step 5

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

$y = 3 (0) - 6$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 3 (0) - 6$

Simplify $3 (0) - 6$ .

Multiply $3$ by $0$ .

$y = 0 - 6$

Subtract $6$ from $0$ .

$y = - 6$

Step 7

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

$y = 3 (1) - 6$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 3 (1) - 6$

Simplify $3 (1) - 6$ .

Multiply $3$ by $1$ .

$y = 3 - 6$

Subtract $6$ from $3$ .

$y = - 3$

Step 9

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

$y = 3 (2) - 6$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 3 (2) - 6$

Simplify $3 (2) - 6$ .

Multiply $3$ by $2$ .

$y = 6 - 6$

Subtract $6$ from $6$ .

$y = 0$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 12 \\ - 1 & - 9 \\ 0 & - 6 \\ 1 & - 3 \\ 2 & 0 \end{array}$

Step 12

Graph Using a Table of Values y=3x-6

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