Graph Using a Table of Values f(x)=2x+3

$f (x) = 2 x + 3$

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

$y = 2 (- 2) + 3$

Simplify $2 (- 2) + 3$ .

Multiply $2$ by $- 2$ .

$y = - 4 + 3$

Add $- 4$ and $3$ .

$y = - 1$

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

$y = 2 (- 1) + 3$

Simplify $2 (- 1) + 3$ .

Multiply $2$ by $- 1$ .

$y = - 2 + 3$

Add $- 2$ and $3$ .

$y = 1$

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

$y = 2 (0) + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (0) + 3$

Simplify $2 (0) + 3$ .

Multiply $2$ by $0$ .

$y = 0 + 3$

Add $0$ and $3$ .

$y = 3$

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

$y = 2 (1) + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (1) + 3$

Simplify $2 (1) + 3$ .

Multiply $2$ by $1$ .

$y = 2 + 3$

Add $2$ and $3$ .

$y = 5$

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

$y = 2 (2) + 3$

Solve the equation for $y$ .

Remove parentheses.

$y = 2 (2) + 3$

Simplify $2 (2) + 3$ .

Multiply $2$ by $2$ .

$y = 4 + 3$

Add $4$ and $3$ .

$y = 7$

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

$\begin{array}{c} x & y \\ - 2 & - 1 \\ - 1 & 1 \\ 0 & 3 \\ 1 & 5 \\ 2 & 7 \end{array}$

Graph Using a Table of Values f(x)=2x+3

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