Find Three Ordered Pair Solutions y=-1/2x+7

$y = - \frac{1}{2} x + 7$

Step 1

Combine $x$ and $\frac{1}{2}$ .

$y = - \frac{x}{2} + 7$

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.

$y = - \frac{0}{2} + 7$

Simplify $- \frac{0}{2} + 7$ .

Simplify each term.

Divide $0$ by $2$ .

$y = - 0 + 7$

Multiply $- 1$ by $0$ .

$y = 0 + 7$

Add $0$ and $7$ .

$y = 7$

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

$(0, 7)$

Step 4

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

Remove parentheses.

$y = - \frac{1}{2} + 7$

Simplify $- \frac{1}{2} + 7$ .

To write $7$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{1}{2} + 7 \cdot \frac{2}{2}$

Combine $7$ and $\frac{2}{2}$ .

$y = - \frac{1}{2} + \frac{7 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 1 + 7 \cdot 2}{2}$

Simplify the numerator.

Multiply $7$ by $2$ .

$y = \frac{- 1 + 14}{2}$

Add $- 1$ and $14$ .

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

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

$(1, \frac{13}{2})$

Step 5

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

Remove parentheses.

$y = - \frac{2}{2} + 7$

Simplify $- \frac{2}{2} + 7$ .

Simplify each term.

Cancel the common factor of $2$ .

Cancel the common factor.

$y = - \frac{2}{2} + 7$

Rewrite the expression.

$y = - 1 \cdot 1 + 7$

Multiply $- 1$ by $1$ .

$y = - 1 + 7$

Add $- 1$ and $7$ .

$y = 6$

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

$(2, 6)$

Step 6

These are three possible solutions to the equation.

$(0, 7), (1, \frac{13}{2}), (2, 6)$

Step 7

Find Three Ordered Pair Solutions y=-1/2x+7

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