Find Three Ordered Pair Solutions y=-1/4x-6

$y = - \frac{1}{4} x - 6$

Step 1

Combine $x$ and $\frac{1}{4}$ .

$y = - \frac{x}{4} - 6$

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.

$y = - \frac{0}{4} - 6$

Simplify $- \frac{0}{4} - 6$ .

Simplify each term.

Divide $0$ by $4$ .

$y = - 0 - 6$

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.

$y = - \frac{1}{4} - 6$

Simplify $- \frac{1}{4} - 6$ .

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{1}{4} - 6 \cdot \frac{4}{4}$

Combine $- 6$ and $\frac{4}{4}$ .

$y = - \frac{1}{4} + \frac{- 6 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = \frac{- 1 - 6 \cdot 4}{4}$

Simplify the numerator.

Multiply $- 6$ by $4$ .

$y = \frac{- 1 - 24}{4}$

Subtract $24$ from $- 1$ .

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

Move the negative in front of the fraction.

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

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

$(1, - \frac{25}{4})$

Step 5

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

Remove parentheses.

$y = - \frac{2}{4} - 6$

Simplify $- \frac{2}{4} - 6$ .

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$y = - \frac{2 (1)}{4} - 6$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = - \frac{2 \cdot 1}{2 \cdot 2} - 6$

Cancel the common factor.

$y = - \frac{2 \cdot 1}{2 \cdot 2} - 6$

Rewrite the expression.

$y = - \frac{1}{2} - 6$

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{1}{2} - 6 \cdot \frac{2}{2}$

Combine $- 6$ and $\frac{2}{2}$ .

$y = - \frac{1}{2} + \frac{- 6 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 1 - 6 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 6$ by $2$ .

$y = \frac{- 1 - 12}{2}$

Subtract $12$ from $- 1$ .

$y = \frac{- 13}{2}$

Move the negative in front of the fraction.

$y = - \frac{13}{2}$

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

$(2, - \frac{13}{2})$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - \frac{25}{4}), (2, - \frac{13}{2})$

Step 7

Find Three Ordered Pair Solutions y=-1/4x-6

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