Find Three Ordered Pair Solutions r(x)=-8/9x

$r (x) = - \frac{8}{9} x$

Step 1

Write $r (x) = - \frac{8}{9} x$ as an equation.

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

Step 2

Simplify $- \frac{8}{9} x$ .

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

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

Move $8$ to the left of $x$ .

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

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

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

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

Cancel the common factor of $0$ and $9$ .

Factor $9$ out of $8 (0)$ .

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

Cancel the common factors.

Factor $9$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $8 \cdot (0)$ by $1$ .

$y = - (8 \cdot (0))$

Multiply $- (8 \cdot (0))$ .

Multiply $8$ by $0$ .

$y = - 0$

Multiply $- 1$ by $0$ .

$y = 0$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 0)$

Step 5

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

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

Multiply $8$ by $1$ .

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

Use the $x$ and $y$ values to form the ordered pair.

$(1, - \frac{8}{9})$

Step 6

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

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

Multiply $8$ by $2$ .

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

Use the $x$ and $y$ values to form the ordered pair.

$(2, - \frac{16}{9})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{8}{9}), (2, - \frac{16}{9})$

Step 8

Find Three Ordered Pair Solutions r(x)=-8/9x

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