Graph Using a Table of Values y=12-3x

$y = 12 - 3 x$

Step 1

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

$y = 12 - 3 \cdot - 2$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = 12 - 3 \cdot - 2$

Simplify $12 - 3 \cdot - 2$ .

Multiply $- 3$ by $- 2$ .

$y = 12 + 6$

Add $12$ and $6$ .

$y = 18$

Step 3

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

$y = 12 - 3 \cdot - 1$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = 12 - 3 \cdot - 1$

Simplify $12 - 3 \cdot - 1$ .

Multiply $- 3$ by $- 1$ .

$y = 12 + 3$

Add $12$ and $3$ .

$y = 15$

Step 5

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

$y = 12 - 3 \cdot 0$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 12 - 3 \cdot 0$

Simplify $12 - 3 \cdot 0$ .

Multiply $- 3$ by $0$ .

$y = 12 + 0$

Add $12$ and $0$ .

$y = 12$

Step 7

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

$y = 12 - 3 \cdot 1$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 12 - 3 \cdot 1$

Simplify $12 - 3 \cdot 1$ .

Multiply $- 3$ by $1$ .

$y = 12 - 3$

Subtract $3$ from $12$ .

$y = 9$

Step 9

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

$y = 12 - 3 \cdot 2$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 12 - 3 \cdot 2$

Simplify $12 - 3 \cdot 2$ .

Multiply $- 3$ by $2$ .

$y = 12 - 6$

Subtract $6$ from $12$ .

$y = 6$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 18 \\ - 1 & 15 \\ 0 & 12 \\ 1 & 9 \\ 2 & 6 \end{array}$

Step 12

Graph Using a Table of Values y=12-3x

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