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

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

Step 1

Simplify each term.

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

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

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

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

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.

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

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

Simplify each term.

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

Factor $5$ out of $2 (0)$ .

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

Cancel the common factors.

Factor $5$ out of $5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $2 \cdot (0)$ by $1$ .

$y = - (2 \cdot (0)) - 5$

Multiply $- (2 \cdot (0))$ .

Multiply $2$ by $0$ .

$y = - 0 - 5$

Multiply $- 1$ by $0$ .

$y = 0 - 5$

Subtract $5$ from $0$ .

$y = - 5$

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

$(0, - 5)$

Step 4

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

Remove parentheses.

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

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

Multiply $2$ by $1$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 5$ by $5$ .

$y = \frac{- 2 - 25}{5}$

Subtract $25$ from $- 2$ .

$y = \frac{- 27}{5}$

Move the negative in front of the fraction.

$y = - \frac{27}{5}$

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

$(1, - \frac{27}{5})$

Step 5

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

Remove parentheses.

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

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

Multiply $2$ by $2$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 5$ by $5$ .

$y = \frac{- 4 - 25}{5}$

Subtract $25$ from $- 4$ .

$y = \frac{- 29}{5}$

Move the negative in front of the fraction.

$y = - \frac{29}{5}$

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

$(2, - \frac{29}{5})$

Step 6

These are three possible solutions to the equation.

$(0, - 5), (1, - \frac{27}{5}), (2, - \frac{29}{5})$

Step 7

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

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