Find Three Ordered Pair Solutions y=-1/3x+1

$y = \frac{- 1}{3} x + 1$

Step 1

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{1}{3} x + 1$

Combine $x$ and $\frac{1}{3}$ .

$y = - \frac{x}{3} + 1$

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.

$y = - \frac{0}{3} + 1$

Simplify $- \frac{0}{3} + 1$ .

Simplify each term.

Divide $0$ by $3$ .

$y = - 0 + 1$

Multiply $- 1$ by $0$ .

$y = 0 + 1$

Add $0$ and $1$ .

$y = 1$

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

$(0, 1)$

Step 4

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

Remove parentheses.

$y = - \frac{1}{3} + 1$

Simplify $- \frac{1}{3} + 1$ .

Write $1$ as a fraction with a common denominator.

$y = - \frac{1}{3} + \frac{3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 1 + 3}{3}$

Add $- 1$ and $3$ .

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

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

$(1, \frac{2}{3})$

Step 5

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

Remove parentheses.

$y = - \frac{2}{3} + 1$

Simplify $- \frac{2}{3} + 1$ .

Write $1$ as a fraction with a common denominator.

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

Combine the numerators over the common denominator.

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

Add $- 2$ and $3$ .

$y = \frac{1}{3}$

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

$(2, \frac{1}{3})$

Step 6

These are three possible solutions to the equation.

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

Step 7

Find Three Ordered Pair Solutions y=-1/3x+1

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