Find Three Ordered Pair Solutions y=3/2x-6

$y = \frac{3}{2} x - 6$

Step 1

Combine $\frac{3}{2}$ and $x$ .

$y = \frac{3 x}{2} - 6$

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.

$y = \frac{3 (0)}{2} - 6$

Simplify $\frac{3 (0)}{2} - 6$ .

Multiply $3$ by $0$ .

$y = \frac{0}{2} - 6$

Divide $0$ by $2$ .

$y = 0 - 6$

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.

$y = \frac{3 (1)}{2} - 6$

Simplify $\frac{3 (1)}{2} - 6$ .

Multiply $3$ by $1$ .

$y = \frac{3}{2} - 6$

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

$y = \frac{3}{2} - 6 \cdot \frac{2}{2}$

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

$y = \frac{3}{2} + \frac{- 6 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{3 - 6 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 6$ by $2$ .

$y = \frac{3 - 12}{2}$

Subtract $12$ from $3$ .

$y = \frac{- 9}{2}$

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

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

$(1, - \frac{9}{2})$

Step 5

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

Remove parentheses.

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

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

Multiply $3$ by $2$ .

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

Divide $6$ by $2$ .

$y = 3 - 6$

Subtract $6$ from $3$ .

$y = - 3$

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

$(2, - 3)$

Step 6

These are three possible solutions to the equation.

$(0, - 6), (1, - \frac{9}{2}), (2, - 3)$

Step 7

Find Three Ordered Pair Solutions y=3/2x-6

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