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

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

Step 1

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

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

Step 2

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

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

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

Move $9$ to the left of $x$ .

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

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.

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

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

Cancel the common factor of $0$ and $8$ .

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

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

Cancel the common factors.

Factor $8$ out of $8$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $9 \cdot (0)$ by $1$ .

$y = - (9 \cdot (0))$

Multiply $- (9 \cdot (0))$ .

Multiply $9$ 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.

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

Multiply $9$ by $1$ .

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

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

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

Step 6

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

Remove parentheses.

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

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $9 (2)$ .

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

Cancel the common factors.

Factor $2$ out of $8$ .

$y = - \frac{2 \cdot 9}{2 \cdot 4}$

Cancel the common factor.

$y = - \frac{2 \cdot 9}{2 \cdot 4}$

Rewrite the expression.

$y = - \frac{9}{4}$

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

$(2, - \frac{9}{4})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{9}{8}), (2, - \frac{9}{4})$

Step 8

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

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