Find Three Ordered Pair Solutions y=-4/3x-6

$y = - \frac{4}{3} x - 6$

Step 1

Simplify each term.

Combine $x$ and $\frac{4}{3}$ .

$y = - \frac{x \cdot 4}{3} - 6$

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

$y = - \frac{4 x}{3} - 6$

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.

$y = - \frac{4 (0)}{3} - 6$

Simplify $- \frac{4 (0)}{3} - 6$ .

Simplify each term.

Cancel the common factor of $0$ and $3$ .

Factor $3$ out of $4 (0)$ .

$y = - \frac{3 (4 \cdot (0))}{3} - 6$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = - \frac{3 (4 \cdot (0))}{3 (1)} - 6$

Cancel the common factor.

$y = - \frac{3 (4 \cdot (0))}{3 \cdot 1} - 6$

Rewrite the expression.

$y = - \frac{4 \cdot (0)}{1} - 6$

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

$y = - (4 \cdot (0)) - 6$

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

Multiply $4$ by $0$ .

$y = - 0 - 6$

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.

$y = - \frac{4 (1)}{3} - 6$

Simplify $- \frac{4 (1)}{3} - 6$ .

Multiply $4$ by $1$ .

$y = - \frac{4}{3} - 6$

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{4}{3} - 6 \cdot \frac{3}{3}$

Combine $- 6$ and $\frac{3}{3}$ .

$y = - \frac{4}{3} + \frac{- 6 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 4 - 6 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 6$ by $3$ .

$y = \frac{- 4 - 18}{3}$

Subtract $18$ from $- 4$ .

$y = \frac{- 22}{3}$

Move the negative in front of the fraction.

$y = - \frac{22}{3}$

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

$(1, - \frac{22}{3})$

Step 5

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

Remove parentheses.

$y = - \frac{4 (2)}{3} - 6$

Simplify $- \frac{4 (2)}{3} - 6$ .

Multiply $4$ by $2$ .

$y = - \frac{8}{3} - 6$

To write $- 6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{8}{3} - 6 \cdot \frac{3}{3}$

Combine $- 6$ and $\frac{3}{3}$ .

$y = - \frac{8}{3} + \frac{- 6 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 8 - 6 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 6$ by $3$ .

$y = \frac{- 8 - 18}{3}$

Subtract $18$ from $- 8$ .

$y = \frac{- 26}{3}$

Move the negative in front of the fraction.

$y = - \frac{26}{3}$

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

$(2, - \frac{26}{3})$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - \frac{22}{3}), (2, - \frac{26}{3})$

Step 7

Find Three Ordered Pair Solutions y=-4/3x-6

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