Graph Using a Table of Values y=4x+6

$y = 4 x + 6$

Step 1

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

$y = 4 (- 2) + 6$

Step 2

Simplify $4 (- 2) + 6$ .

Multiply $4$ by $- 2$ .

$y = - 8 + 6$

Add $- 8$ and $6$ .

$y = - 2$

Step 3

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

$y = 4 (- 1) + 6$

Step 4

Simplify $4 (- 1) + 6$ .

Multiply $4$ by $- 1$ .

$y = - 4 + 6$

Add $- 4$ and $6$ .

$y = 2$

Step 5

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

$y = 4 (0) + 6$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = 4 (0) + 6$

Simplify $4 (0) + 6$ .

Multiply $4$ by $0$ .

$y = 0 + 6$

Add $0$ and $6$ .

$y = 6$

Step 7

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

$y = 4 (1) + 6$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = 4 (1) + 6$

Simplify $4 (1) + 6$ .

Multiply $4$ by $1$ .

$y = 4 + 6$

Add $4$ and $6$ .

$y = 10$

Step 9

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

$y = 4 (2) + 6$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = 4 (2) + 6$

Simplify $4 (2) + 6$ .

Multiply $4$ by $2$ .

$y = 8 + 6$

Add $8$ and $6$ .

$y = 14$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 2 \\ - 1 & 2 \\ 0 & 6 \\ 1 & 10 \\ 2 & 14 \end{array}$

Step 12

Graph Using a Table of Values y=4x+6

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