Find Three Ordered Pair Solutions y=-1/5x-6

$y = - \frac{1}{5} x - 6$

Step 1

Combine $x$ and $\frac{1}{5}$ .

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

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.

$y = - \frac{0}{5} - 6$

Simplify $- \frac{0}{5} - 6$ .

Simplify each term.

Divide $0$ by $5$ .

$y = - 0 - 6$

Multiply $- 1$ by $0$ .

$y = 0 - 6$

Subtract $6$ from $0$ .

$y = - 6$

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

$(0, - 6)$

Step 4

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

Remove parentheses.

$y = - \frac{1}{5} - 6$

Simplify $- \frac{1}{5} - 6$ .

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = - \frac{1}{5} - 6 \cdot \frac{5}{5}$

Combine $- 6$ and $\frac{5}{5}$ .

$y = - \frac{1}{5} + \frac{- 6 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{- 1 - 6 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 6$ by $5$ .

$y = \frac{- 1 - 30}{5}$

Subtract $30$ from $- 1$ .

$y = \frac{- 31}{5}$

Move the negative in front of the fraction.

$y = - \frac{31}{5}$

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

$(1, - \frac{31}{5})$

Step 5

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

Remove parentheses.

$y = - \frac{2}{5} - 6$

Simplify $- \frac{2}{5} - 6$ .

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = - \frac{2}{5} - 6 \cdot \frac{5}{5}$

Combine $- 6$ and $\frac{5}{5}$ .

$y = - \frac{2}{5} + \frac{- 6 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = \frac{- 2 - 6 \cdot 5}{5}$

Simplify the numerator.

Multiply $- 6$ by $5$ .

$y = \frac{- 2 - 30}{5}$

Subtract $30$ from $- 2$ .

$y = \frac{- 32}{5}$

Move the negative in front of the fraction.

$y = - \frac{32}{5}$

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

$(2, - \frac{32}{5})$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - \frac{31}{5}), (2, - \frac{32}{5})$

Step 7

Find Three Ordered Pair Solutions y=-1/5x-6

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