Graph Using a Table of Values y=1/3x+1

$y = \frac{1}{3} x + 1$

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

$y = \frac{1}{3} \cdot (- 2) + 1$

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $- 2$ .

$y = \frac{1}{3} \cdot - 2 + 1$

Simplify $\frac{1}{3} \cdot - 2 + 1$ .

Simplify each term.

Combine $\frac{1}{3}$ and $- 2$ .

$y = \frac{- 2}{3} + 1$

Move the negative in front of the fraction.

$y = - \frac{2}{3} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = - \frac{2}{3} + \frac{3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 2 + 3}{3}$

Add $- 2$ and $3$ .

$y = \frac{1}{3}$

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

$y = \frac{1}{3} \cdot (- 1) + 1$

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $- 1$ .

$y = \frac{1}{3} \cdot - 1 + 1$

Simplify $\frac{1}{3} \cdot - 1 + 1$ .

Simplify each term.

Combine $\frac{1}{3}$ and $- 1$ .

$y = \frac{- 1}{3} + 1$

Move the negative in front of the fraction.

$y = - \frac{1}{3} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = - \frac{1}{3} + \frac{3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 1 + 3}{3}$

Add $- 1$ and $3$ .

$y = \frac{2}{3}$

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

$y = \frac{1}{3} \cdot (0) + 1$

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $0$ .

$y = \frac{1}{3} \cdot 0 + 1$

Remove parentheses.

$y = \frac{1}{3} \cdot (0) + 1$

Simplify $\frac{1}{3} \cdot (0) + 1$ .

Multiply $\frac{1}{3}$ by $0$ .

$y = 0 + 1$

Add $0$ and $1$ .

$y = 1$

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

$y = \frac{1}{3} \cdot (1) + 1$

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $1$ .

$y = \frac{1}{3} \cdot 1 + 1$

Remove parentheses.

$y = \frac{1}{3} \cdot (1) + 1$

Simplify $\frac{1}{3} \cdot (1) + 1$ .

Multiply $\frac{1}{3}$ by $1$ .

$y = \frac{1}{3} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = \frac{1}{3} + \frac{3}{3}$

Combine the numerators over the common denominator.

$y = \frac{1 + 3}{3}$

Add $1$ and $3$ .

$y = \frac{4}{3}$

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

$y = \frac{1}{3} \cdot (2) + 1$

Solve the equation for $y$ .

Multiply $\frac{1}{3}$ by $2$ .

$y = \frac{1}{3} \cdot 2 + 1$

Remove parentheses.

$y = \frac{1}{3} \cdot (2) + 1$

Simplify $\frac{1}{3} \cdot (2) + 1$ .

Combine $\frac{1}{3}$ and $2$ .

$y = \frac{2}{3} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$y = \frac{2}{3} + \frac{3}{3}$

Combine the numerators over the common denominator.

$y = \frac{2 + 3}{3}$

Add $2$ and $3$ .

$y = \frac{5}{3}$

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

$\begin{array}{c} x & y \\ - 2 & \frac{1}{3} \\ - 1 & \frac{2}{3} \\ 0 & 1 \\ 1 & \frac{4}{3} \\ 2 & \frac{5}{3} \end{array}$

Graph Using a Table of Values y=1/3x+1

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