Graph Using a Table of Values y-4=-3(x+2)

$y - 4 = - 3 (x + 2)$

Step 1

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

$y - 4 = - 3 ((- 2) + 2)$

Step 2

Solve the equation for $y$ .

Simplify $- 3 ((- 2) + 2)$ .

Rewrite.

$y - 4 = 0 + 0 - 3 ((- 2) + 2)$

Simplify by adding zeros.

$y - 4 = - 3 ((- 2) + 2)$

Add $- 2$ and $2$ .

$y - 4 = - 3 \cdot 0$

Multiply $- 3$ by $0$ .

$y - 4 = 0$

Add $4$ to both sides of the equation.

$y = 4$

Step 3

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

$y - 4 = - 3 ((- 1) + 2)$

Step 4

Solve the equation for $y$ .

Simplify $- 3 ((- 1) + 2)$ .

Rewrite.

$y - 4 = 0 + 0 - 3 ((- 1) + 2)$

Simplify by adding zeros.

$y - 4 = - 3 ((- 1) + 2)$

Add $- 1$ and $2$ .

$y - 4 = - 3 \cdot 1$

Multiply $- 3$ by $1$ .

$y - 4 = - 3$

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

Add $4$ to both sides of the equation.

$y = - 3 + 4$

Add $- 3$ and $4$ .

$y = 1$

Step 5

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

$y - 4 = - 3 ((0) + 2)$

Step 6

Solve the equation for $y$ .

Simplify $- 3 ((0) + 2)$ .

Add $0$ and $2$ .

$y - 4 = - 3 \cdot 2$

Multiply $- 3$ by $2$ .

$y - 4 = - 6$

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

Add $4$ to both sides of the equation.

$y = - 6 + 4$

Add $- 6$ and $4$ .

$y = - 2$

Step 7

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

$y - 4 = - 3 ((1) + 2)$

Step 8

Solve the equation for $y$ .

Simplify $- 3 ((1) + 2)$ .

Rewrite.

$y - 4 = 0 + 0 - 3 ((1) + 2)$

Simplify by adding zeros.

$y - 4 = - 3 ((1) + 2)$

Add $1$ and $2$ .

$y - 4 = - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$y - 4 = - 9$

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

Add $4$ to both sides of the equation.

$y = - 9 + 4$

Add $- 9$ and $4$ .

$y = - 5$

Step 9

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

$y - 4 = - 3 ((2) + 2)$

Step 10

Solve the equation for $y$ .

Simplify $- 3 ((2) + 2)$ .

Rewrite.

$y - 4 = 0 + 0 - 3 ((2) + 2)$

Simplify by adding zeros.

$y - 4 = - 3 ((2) + 2)$

Add $2$ and $2$ .

$y - 4 = - 3 \cdot 4$

Multiply $- 3$ by $4$ .

$y - 4 = - 12$

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 $4$ .

$y = - 8$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 1 \\ 0 & - 2 \\ 1 & - 5 \\ 2 & - 8 \end{array}$

Step 12

Graph Using a Table of Values y-4=-3(x+2)

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