Graph Using a Table of Values y=mx+b

$y = m x + b$

Step 1

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

$y = m (- 2) + b$

Step 2

Simplify $m (- 2) + b$ .

Move $- 2$ to the left of $m$ .

$y = - 2 m + b$

Reorder $- 2 m$ and $b$ .

$y = b - 2 m$

Step 3

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

$y = m (- 1) + b$

Step 4

Simplify $m (- 1) + b$ .

Simplify each term.

Move $- 1$ to the left of $m$ .

$y = - 1 m + b$

Rewrite $- 1 m$ as $- m$ .

$y = - m + b$

Reorder $- m$ and $b$ .

$y = b - m$

Step 5

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

$y = m (0) + b$

Step 6

Solve the equation for $y$ .

Remove parentheses.

$y = m (0) + b$

Simplify $m (0) + b$ .

Multiply $m$ by $0$ .

$y = 0 + b$

Add $0$ and $b$ .

$y = b$

Step 7

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

$y = m (1) + b$

Step 8

Solve the equation for $y$ .

Remove parentheses.

$y = m (1) + b$

Simplify $m (1) + b$ .

Multiply $m$ by $1$ .

$y = m + b$

Reorder $m$ and $b$ .

$y = b + m$

Step 9

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

$y = m (2) + b$

Step 10

Solve the equation for $y$ .

Remove parentheses.

$y = m (2) + b$

Simplify $m (2) + b$ .

Move $2$ to the left of $m$ .

$y = 2 m + b$

Reorder $2 m$ and $b$ .

$y = b + 2 m$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & b - 2 m \\ - 1 & b - m \\ 0 & b \\ 1 & b + m \\ 2 & b + 2 m \end{array}$

Step 12

Graph Using a Table of Values y=mx+b

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