Graph Using a Table of Values y=-6x-14

$y = - 6 x - 14$

Step 1

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

$y = - 6 \cdot - 2 - 14$

Step 2

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot - 2 - 14$

Simplify $- 6 \cdot - 2 - 14$ .

Multiply $- 6$ by $- 2$ .

$y = 12 - 14$

Subtract $14$ from $12$ .

$y = - 2$

Step 3

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

$y = - 6 \cdot - 1 - 14$

Step 4

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot - 1 - 14$

Simplify $- 6 \cdot - 1 - 14$ .

Multiply $- 6$ by $- 1$ .

$y = 6 - 14$

Subtract $14$ from $6$ .

$y = - 8$

Step 5

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

$y = - 6 \cdot 0 - 14$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 0 - 14$

Simplify $- 6 \cdot 0 - 14$ .

Multiply $- 6$ by $0$ .

$y = 0 - 14$

Subtract $14$ from $0$ .

$y = - 14$

Step 7

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

$y = - 6 \cdot 1 - 14$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 1 - 14$

Simplify $- 6 \cdot 1 - 14$ .

Multiply $- 6$ by $1$ .

$y = - 6 - 14$

Subtract $14$ from $- 6$ .

$y = - 20$

Step 9

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

$y = - 6 \cdot 2 - 14$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = - 6 \cdot 2 - 14$

Simplify $- 6 \cdot 2 - 14$ .

Multiply $- 6$ by $2$ .

$y = - 12 - 14$

Subtract $14$ from $- 12$ .

$y = - 26$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & - 8 \\ 0 & - 14 \\ 1 & - 20 \\ 2 & - 26 \end{array}$

Step 12

Graph Using a Table of Values y=-6x-14

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