Graph Using a Table of Values y=-2/3x-4

$y = - \frac{2}{3} x - 4$

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

$y = - \frac{2}{3} \cdot - 2 - 4$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot - 2 - 4$

Simplify $- \frac{2}{3} \cdot - 2 - 4$ .

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

Multiply $- 2$ by $- 1$ .

$y = 2 (\frac{2}{3}) - 4$

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

$y = \frac{2 \cdot 2}{3} - 4$

Multiply $2$ by $2$ .

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

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Combine $- 4$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 4$ by $3$ .

$y = \frac{4 - 12}{3}$

Subtract $12$ from $4$ .

$y = \frac{- 8}{3}$

Move the negative in front of the fraction.

$y = - \frac{8}{3}$

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

$y = - \frac{2}{3} \cdot - 1 - 4$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot - 1 - 4$

Simplify $- \frac{2}{3} \cdot - 1 - 4$ .

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

Multiply $- 1$ by $- 1$ .

$y = 1 (\frac{2}{3}) - 4$

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

$y = \frac{2}{3} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{2}{3} - 4 \cdot \frac{3}{3}$

Combine $- 4$ and $\frac{3}{3}$ .

$y = \frac{2}{3} + \frac{- 4 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{2 - 4 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 4$ by $3$ .

$y = \frac{2 - 12}{3}$

Subtract $12$ from $2$ .

$y = \frac{- 10}{3}$

Move the negative in front of the fraction.

$y = - \frac{10}{3}$

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

$y = - \frac{2}{3} \cdot 0 - 4$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot 0 - 4$

Simplify $- \frac{2}{3} \cdot 0 - 4$ .

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

Multiply $0$ by $- 1$ .

$y = 0 (\frac{2}{3}) - 4$

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

$y = 0 - 4$

Subtract $4$ from $0$ .

$y = - 4$

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

$y = - \frac{2}{3} \cdot 1 - 4$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot 1 - 4$

Simplify $- \frac{2}{3} \cdot 1 - 4$ .

Multiply $- 1$ by $1$ .

$y = - \frac{2}{3} - 4$

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{2}{3} - 4 \cdot \frac{3}{3}$

Combine $- 4$ and $\frac{3}{3}$ .

$y = - \frac{2}{3} + \frac{- 4 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 2 - 4 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 4$ by $3$ .

$y = \frac{- 2 - 12}{3}$

Subtract $12$ from $- 2$ .

$y = \frac{- 14}{3}$

Move the negative in front of the fraction.

$y = - \frac{14}{3}$

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

$y = - \frac{2}{3} \cdot 2 - 4$

Solve the equation for $y$ .

Remove parentheses.

$y = - \frac{2}{3} \cdot 2 - 4$

Simplify $- \frac{2}{3} \cdot 2 - 4$ .

Simplify each term.

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

Multiply $2$ by $- 1$ .

$y = - 2 (\frac{2}{3}) - 4$

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

$y = \frac{- 2 \cdot 2}{3} - 4$

Multiply $- 2$ by $2$ .

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

Move the negative in front of the fraction.

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

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Combine $- 4$ and $\frac{3}{3}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 4$ by $3$ .

$y = \frac{- 4 - 12}{3}$

Subtract $12$ from $- 4$ .

$y = \frac{- 16}{3}$

Move the negative in front of the fraction.

$y = - \frac{16}{3}$

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

$\begin{array}{c} x & y \\ - 2 & - \frac{8}{3} \\ - 1 & - \frac{10}{3} \\ 0 & - 4 \\ 1 & - \frac{14}{3} \\ 2 & - \frac{16}{3} \end{array}$

Graph Using a Table of Values y=-2/3x-4

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