Graph Using a Table of Values y=8/9x-1

$y = \frac{8}{9} x - 1$

Step 1

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

$y = \frac{8}{9} \cdot (- 2) - 1$

Step 2

Solve the equation for $y$ .

Multiply $\frac{8}{9}$ by $- 2$ .

$y = \frac{8}{9} \cdot - 2 - 1$

Simplify $\frac{8}{9} \cdot - 2 - 1$ .

Simplify each term.

Multiply $\frac{8}{9} \cdot - 2$ .

Combine $\frac{8}{9}$ and $- 2$ .

$y = \frac{8 \cdot - 2}{9} - 1$

Multiply $8$ by $- 2$ .

$y = \frac{- 16}{9} - 1$

Move the negative in front of the fraction.

$y = - \frac{16}{9} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = - \frac{16}{9} - 1 \cdot \frac{9}{9}$

Combine $- 1$ and $\frac{9}{9}$ .

$y = - \frac{16}{9} + \frac{- 1 \cdot 9}{9}$

Combine the numerators over the common denominator.

$y = \frac{- 16 - 1 \cdot 9}{9}$

Simplify the numerator.

Multiply $- 1$ by $9$ .

$y = \frac{- 16 - 9}{9}$

Subtract $9$ from $- 16$ .

$y = \frac{- 25}{9}$

Move the negative in front of the fraction.

$y = - \frac{25}{9}$

Step 3

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

$y = \frac{8}{9} \cdot (- 1) - 1$

Step 4

Solve the equation for $y$ .

Multiply $\frac{8}{9}$ by $- 1$ .

$y = \frac{8}{9} \cdot - 1 - 1$

Simplify $\frac{8}{9} \cdot - 1 - 1$ .

Simplify each term.

Multiply $\frac{8}{9} \cdot - 1$ .

Combine $\frac{8}{9}$ and $- 1$ .

$y = \frac{8 \cdot - 1}{9} - 1$

Multiply $8$ by $- 1$ .

$y = \frac{- 8}{9} - 1$

Move the negative in front of the fraction.

$y = - \frac{8}{9} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = - \frac{8}{9} - 1 \cdot \frac{9}{9}$

Combine $- 1$ and $\frac{9}{9}$ .

$y = - \frac{8}{9} + \frac{- 1 \cdot 9}{9}$

Combine the numerators over the common denominator.

$y = \frac{- 8 - 1 \cdot 9}{9}$

Simplify the numerator.

Multiply $- 1$ by $9$ .

$y = \frac{- 8 - 9}{9}$

Subtract $9$ from $- 8$ .

$y = \frac{- 17}{9}$

Move the negative in front of the fraction.

$y = - \frac{17}{9}$

Step 5

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

$y = \frac{8}{9} \cdot (0) - 1$

Step 6

Solve the equation for $y$ .

Multiply $\frac{8}{9}$ by $0$ .

$y = \frac{8}{9} \cdot 0 - 1$

Remove parentheses.

$y = \frac{8}{9} \cdot (0) - 1$

Simplify $\frac{8}{9} \cdot (0) - 1$ .

Multiply $\frac{8}{9}$ by $0$ .

$y = 0 - 1$

Subtract $1$ from $0$ .

$y = - 1$

Step 7

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

$y = \frac{8}{9} \cdot (1) - 1$

Step 8

Solve the equation for $y$ .

Multiply $\frac{8}{9}$ by $1$ .

$y = \frac{8}{9} \cdot 1 - 1$

Remove parentheses.

$y = \frac{8}{9} \cdot (1) - 1$

Simplify $\frac{8}{9} \cdot (1) - 1$ .

Multiply $\frac{8}{9}$ by $1$ .

$y = \frac{8}{9} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = \frac{8}{9} - 1 \cdot \frac{9}{9}$

Combine $- 1$ and $\frac{9}{9}$ .

$y = \frac{8}{9} + \frac{- 1 \cdot 9}{9}$

Combine the numerators over the common denominator.

$y = \frac{8 - 1 \cdot 9}{9}$

Simplify the numerator.

Multiply $- 1$ by $9$ .

$y = \frac{8 - 9}{9}$

Subtract $9$ from $8$ .

$y = \frac{- 1}{9}$

Move the negative in front of the fraction.

$y = - \frac{1}{9}$

Step 9

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

$y = \frac{8}{9} \cdot (2) - 1$

Step 10

Solve the equation for $y$ .

Multiply $\frac{8}{9}$ by $2$ .

$y = \frac{8}{9} \cdot 2 - 1$

Remove parentheses.

$y = \frac{8}{9} \cdot (2) - 1$

Simplify $\frac{8}{9} \cdot (2) - 1$ .

Multiply $\frac{8}{9} (2)$ .

Combine $\frac{8}{9}$ and $2$ .

$y = \frac{8 \cdot 2}{9} - 1$

Multiply $8$ by $2$ .

$y = \frac{16}{9} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$y = \frac{16}{9} - 1 \cdot \frac{9}{9}$

Combine $- 1$ and $\frac{9}{9}$ .

$y = \frac{16}{9} + \frac{- 1 \cdot 9}{9}$

Combine the numerators over the common denominator.

$y = \frac{16 - 1 \cdot 9}{9}$

Simplify the numerator.

Multiply $- 1$ by $9$ .

$y = \frac{16 - 9}{9}$

Subtract $9$ from $16$ .

$y = \frac{7}{9}$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - \frac{25}{9} \\ - 1 & - \frac{17}{9} \\ 0 & - 1 \\ 1 & - \frac{1}{9} \\ 2 & \frac{7}{9} \end{array}$

Step 12

Graph Using a Table of Values y=8/9x-1

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