Find Three Ordered Pair Solutions y=-2/5x+8/5

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

Step 1

Simplify each term.

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

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

Move $2$ to the left of $x$ .

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

Step 2

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

Step 3

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

Remove parentheses.

$y = - \frac{2 (0)}{5} + \frac{8}{5}$

Simplify $- \frac{2 (0)}{5} + \frac{8}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 \cdot 0 + 8}{5}$

Simplify the expression.

Multiply $- 2$ by $0$ .

$y = \frac{0 + 8}{5}$

Add $0$ and $8$ .

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

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

$(0, \frac{8}{5})$

Step 4

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

Remove parentheses.

$y = - \frac{2 (1)}{5} + \frac{8}{5}$

Simplify $- \frac{2 (1)}{5} + \frac{8}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{- 2 \cdot 1 + 8}{5}$

Simplify the expression.

Multiply $- 2$ by $1$ .

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

Add $- 2$ and $8$ .

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

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

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

Step 5

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

Remove parentheses.

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

Simplify $- \frac{2 (2)}{5} + \frac{8}{5}$ .

Combine the numerators over the common denominator.

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

Simplify the expression.

Multiply $- 2$ by $2$ .

$y = \frac{- 4 + 8}{5}$

Add $- 4$ and $8$ .

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

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

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

Step 6

These are three possible solutions to the equation.

$(0, \frac{8}{5}), (1, \frac{6}{5}), (2, \frac{4}{5})$

Step 7

Find Three Ordered Pair Solutions y=-2/5x+8/5

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