Find Three Ordered Pair Solutions q(x)=2-4/5x

$q (x) = 2 - \frac{4}{5} x$

Step 1

Write $q (x) = 2 - \frac{4}{5} x$ as an equation.

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

Step 2

Simplify $2 - \frac{4}{5} x$ .

Simplify each term.

Combine $x$ and $\frac{4}{5}$ .

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

Move $4$ to the left of $x$ .

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

Reorder $2$ and $- \frac{4 x}{5}$ .

$y = - \frac{4 x}{5} + 2$

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.

$y = - \frac{4 (0)}{5} + 2$

Simplify $- \frac{4 (0)}{5} + 2$ .

Simplify each term.

Cancel the common factor of $0$ and $5$ .

Factor $5$ out of $4 (0)$ .

$y = - \frac{5 (4 \cdot (0))}{5} + 2$

Cancel the common factors.

Factor $5$ out of $5$ .

$y = - \frac{5 (4 \cdot (0))}{5 (1)} + 2$

Cancel the common factor.

$y = - \frac{5 (4 \cdot (0))}{5 \cdot 1} + 2$

Rewrite the expression.

$y = - \frac{4 \cdot (0)}{1} + 2$

Divide $4 \cdot (0)$ by $1$ .

$y = - (4 \cdot (0)) + 2$

Multiply $- (4 \cdot (0))$ .

Multiply $4$ by $0$ .

$y = - 0 + 2$

Multiply $- 1$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

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

$(0, 2)$

Step 5

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

Remove parentheses.

$y = - \frac{4 (1)}{5} + 2$

Simplify $- \frac{4 (1)}{5} + 2$ .

Multiply $4$ by $1$ .

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

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Combine $2$ and $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $5$ .

$y = \frac{- 4 + 10}{5}$

Add $- 4$ and $10$ .

$y = \frac{6}{5}$

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

$(1, \frac{6}{5})$

Step 6

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

Remove parentheses.

$y = - \frac{4 (2)}{5} + 2$

Simplify $- \frac{4 (2)}{5} + 2$ .

Multiply $4$ by $2$ .

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

To write $2$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Combine $2$ and $\frac{5}{5}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $2$ by $5$ .

$y = \frac{- 8 + 10}{5}$

Add $- 8$ and $10$ .

$y = \frac{2}{5}$

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

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

Step 7

These are three possible solutions to the equation.

$(0, 2), (1, \frac{6}{5}), (2, \frac{2}{5})$

Step 8

Find Three Ordered Pair Solutions q(x)=2-4/5x

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