Graph Using a Table of Values y=2x+4

$y = 2 x + 4$

Step 1

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

$y = 2 (- 2) + 4$

Step 2

Simplify $2 (- 2) + 4$ .

Multiply $2$ by $- 2$ .

$y = - 4 + 4$

Add $- 4$ and $4$ .

$y = 0$

Step 3

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

$y = 2 (- 1) + 4$

Step 4

Simplify $2 (- 1) + 4$ .

Multiply $2$ by $- 1$ .

$y = - 2 + 4$

Add $- 2$ and $4$ .

$y = 2$

Step 5

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

$y = 2 (0) + 4$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (0) + 4$

Simplify $2 (0) + 4$ .

Multiply $2$ by $0$ .

$y = 0 + 4$

Add $0$ and $4$ .

$y = 4$

Step 7

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

$y = 2 (1) + 4$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (1) + 4$

Simplify $2 (1) + 4$ .

Multiply $2$ by $1$ .

$y = 2 + 4$

Add $2$ and $4$ .

$y = 6$

Step 9

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

$y = 2 (2) + 4$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (2) + 4$

Simplify $2 (2) + 4$ .

Multiply $2$ by $2$ .

$y = 4 + 4$

Add $4$ and $4$ .

$y = 8$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & 0 \\ - 1 & 2 \\ 0 & 4 \\ 1 & 6 \\ 2 & 8 \end{array}$

Step 12

Graph Using a Table of Values y=2x+4

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