Graph Using a Table of Values y+2=-4(x-1)

$y + 2 = - 4 (x - 1)$

Step 1

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

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

Step 2

Solve the equation for $y$ .

Simplify $- 4 ((- 2) - 1)$ .

Rewrite.

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

Simplify by adding zeros.

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

Subtract $1$ from $- 2$ .

$y + 2 = - 4 \cdot - 3$

Multiply $- 4$ by $- 3$ .

$y + 2 = 12$

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

Subtract $2$ from both sides of the equation.

$y = 12 - 2$

Subtract $2$ from $12$ .

$y = 10$

Step 3

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

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

Step 4

Solve the equation for $y$ .

Simplify $- 4 ((- 1) - 1)$ .

Rewrite.

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

Simplify by adding zeros.

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

Subtract $1$ from $- 1$ .

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

Multiply $- 4$ by $- 2$ .

$y + 2 = 8$

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

Subtract $2$ from both sides of the equation.

$y = 8 - 2$

Subtract $2$ from $8$ .

$y = 6$

Step 5

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

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

Step 6

Solve the equation for $y$ .

Simplify $- 4 ((0) - 1)$ .

Subtract $1$ from $0$ .

$y + 2 = - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$y + 2 = 4$

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

Subtract $2$ from both sides of the equation.

$y = 4 - 2$

Subtract $2$ from $4$ .

$y = 2$

Step 7

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

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

Step 8

Solve the equation for $y$ .

Simplify $- 4 ((1) - 1)$ .

Rewrite.

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

Simplify by adding zeros.

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

Subtract $1$ from $1$ .

$y + 2 = - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$y + 2 = 0$

Subtract $2$ from both sides of the equation.

$y = - 2$

Step 9

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

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

Step 10

Solve the equation for $y$ .

Simplify $- 4 ((2) - 1)$ .

Rewrite.

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

Simplify by adding zeros.

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

Subtract $1$ from $2$ .

$y + 2 = - 4 \cdot 1$

Multiply $- 4$ by $1$ .

$y + 2 = - 4$

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

Subtract $2$ from both sides of the equation.

$y = - 4 - 2$

Subtract $2$ from $- 4$ .

$y = - 6$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 10 \\ - 1 & 6 \\ 0 & 2 \\ 1 & - 2 \\ 2 & - 6 \end{array}$

Step 12

Graph Using a Table of Values y+2=-4(x-1)

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