Graph Using a Table of Values y-4=-2(x-6)

$y - 4 = - 2 (x - 6)$

Step 1

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

$y - 4 = - 2 ((- 2) - 6)$

Step 2

Solve the equation for $y$ .

Simplify $- 2 ((- 2) - 6)$ .

Rewrite.

$y - 4 = 0 + 0 - 2 ((- 2) - 6)$

Simplify by adding zeros.

$y - 4 = - 2 ((- 2) - 6)$

Subtract $6$ from $- 2$ .

$y - 4 = - 2 \cdot - 8$

Multiply $- 2$ by $- 8$ .

$y - 4 = 16$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = 16 + 4$

Add $16$ and $4$ .

$y = 20$

Step 3

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

$y - 4 = - 2 ((- 1) - 6)$

Step 4

Solve the equation for $y$ .

Simplify $- 2 ((- 1) - 6)$ .

Rewrite.

$y - 4 = 0 + 0 - 2 ((- 1) - 6)$

Simplify by adding zeros.

$y - 4 = - 2 ((- 1) - 6)$

Subtract $6$ from $- 1$ .

$y - 4 = - 2 \cdot - 7$

Multiply $- 2$ by $- 7$ .

$y - 4 = 14$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = 14 + 4$

Add $14$ and $4$ .

$y = 18$

Step 5

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

$y - 4 = - 2 ((0) - 6)$

Step 6

Solve the equation for $y$ .

Simplify $- 2 ((0) - 6)$ .

Subtract $6$ from $0$ .

$y - 4 = - 2 \cdot - 6$

Multiply $- 2$ by $- 6$ .

$y - 4 = 12$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = 12 + 4$

Add $12$ and $4$ .

$y = 16$

Step 7

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

$y - 4 = - 2 ((1) - 6)$

Step 8

Solve the equation for $y$ .

Simplify $- 2 ((1) - 6)$ .

Rewrite.

$y - 4 = 0 + 0 - 2 ((1) - 6)$

Simplify by adding zeros.

$y - 4 = - 2 ((1) - 6)$

Subtract $6$ from $1$ .

$y - 4 = - 2 \cdot - 5$

Multiply $- 2$ by $- 5$ .

$y - 4 = 10$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = 10 + 4$

Add $10$ and $4$ .

$y = 14$

Step 9

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

$y - 4 = - 2 ((2) - 6)$

Step 10

Solve the equation for $y$ .

Simplify $- 2 ((2) - 6)$ .

Rewrite.

$y - 4 = 0 + 0 - 2 ((2) - 6)$

Simplify by adding zeros.

$y - 4 = - 2 ((2) - 6)$

Subtract $6$ from $2$ .

$y - 4 = - 2 \cdot - 4$

Multiply $- 2$ by $- 4$ .

$y - 4 = 8$

Move all terms not containing $y$ to the right side of the equation.

Add $4$ to both sides of the equation.

$y = 8 + 4$

Add $8$ and $4$ .

$y = 12$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 20 \\ - 1 & 18 \\ 0 & 16 \\ 1 & 14 \\ 2 & 12 \end{array}$

Step 12

Graph Using a Table of Values y-4=-2(x-6)

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