Graph Using a Table of Values y=-2/3x

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Multiply $- \frac{2}{3} \cdot - 2$ .

Multiply $- 2$ by $- 1$ .

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

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

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

Multiply $2$ by $2$ .

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $- 1$ by $- 1$ .

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

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

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

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

$y = - \frac{2}{3} \cdot 0$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot 0$

Multiply $- \frac{2}{3} \cdot 0$ .

Multiply $0$ by $- 1$ .

$y = 0 (\frac{2}{3})$

Multiply $0$ by $\frac{2}{3}$ .

$y = 0$

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

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

Solve the equation for $y$ .

Remove parentheses.

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

Multiply $- 1$ by $1$ .

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

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

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

Solve the equation for $y$ .

Remove parentheses.

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

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

Multiply $- \frac{2}{3} \cdot 2$ .

Multiply $2$ by $- 1$ .

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

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

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

Multiply $- 2$ by $2$ .

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

Move the negative in front of the fraction.

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

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

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

Graph Using a Table of Values y=-2/3x

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