Find Three Ordered Pair Solutions t(x)=-5/8x

$t (x) = - \frac{5}{8} x$

Step 1

Write $t (x) = - \frac{5}{8} x$ as an equation.

$y = - \frac{5}{8} x$

Step 2

Simplify $- \frac{5}{8} x$ .

Combine $x$ and $\frac{5}{8}$ .

$y = - \frac{x \cdot 5}{8}$

Move $5$ to the left of $x$ .

$y = - \frac{5 x}{8}$

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.

$y = - \frac{5 (0)}{8}$

Simplify $- \frac{5 (0)}{8}$ .

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

Factor $8$ out of $5 (0)$ .

$y = - \frac{8 (5 \cdot (0))}{8}$

Cancel the common factors.

Factor $8$ out of $8$ .

$y = - \frac{8 (5 \cdot (0))}{8 (1)}$

Cancel the common factor.

$y = - \frac{8 (5 \cdot (0))}{8 \cdot 1}$

Rewrite the expression.

$y = - \frac{5 \cdot (0)}{1}$

Divide $5 \cdot (0)$ by $1$ .

$y = - (5 \cdot (0))$

Multiply $- (5 \cdot (0))$ .

Multiply $5$ 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.

$y = - \frac{5 (1)}{8}$

Multiply $5$ by $1$ .

$y = - \frac{5}{8}$

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

$(1, - \frac{5}{8})$

Step 6

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

Remove parentheses.

$y = - \frac{5 (2)}{8}$

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

Factor $2$ out of $5 (2)$ .

$y = - \frac{2 \cdot 5}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = - \frac{2 \cdot 5}{2 \cdot 4}$

Cancel the common factor.

$y = - \frac{2 \cdot 5}{2 \cdot 4}$

Rewrite the expression.

$y = - \frac{5}{4}$

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

$(2, - \frac{5}{4})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{5}{8}), (2, - \frac{5}{4})$

Step 8

Find Three Ordered Pair Solutions t(x)=-5/8x

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