Find Three Ordered Pair Solutions y-2=-6/7x

$y - 2 = - \frac{6}{7} x$

Step 1

Solve the equation for $y$ .

Simplify $- \frac{6}{7} x$ .

Rewrite.

$y - 2 = 0 + 0 - \frac{6}{7} x$

Simplify by adding zeros.

$y - 2 = - \frac{6}{7} x$

Combine $x$ and $\frac{6}{7}$ .

$y - 2 = - \frac{x \cdot 6}{7}$

Move $6$ to the left of $x$ .

$y - 2 = - \frac{6 x}{7}$

Add $2$ to both sides of the equation.

$y = - \frac{6 x}{7} + 2$

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.

$y = - \frac{6 (0)}{7} + 2$

Simplify $- \frac{6 (0)}{7} + 2$ .

Simplify each term.

Cancel the common factor of $0$ and $7$ .

Factor $7$ out of $6 (0)$ .

$y = - \frac{7 (6 \cdot (0))}{7} + 2$

Cancel the common factors.

Factor $7$ out of $7$ .

$y = - \frac{7 (6 \cdot (0))}{7 (1)} + 2$

Cancel the common factor.

$y = - \frac{7 (6 \cdot (0))}{7 \cdot 1} + 2$

Rewrite the expression.

$y = - \frac{6 \cdot (0)}{1} + 2$

Divide $6 \cdot (0)$ by $1$ .

$y = - (6 \cdot (0)) + 2$

Multiply $- (6 \cdot (0))$ .

Multiply $6$ by $0$ .

$y = - 0 + 2$

Multiply $- 1$ by $0$ .

$y = 0 + 2$

Add $0$ and $2$ .

$y = 2$

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

$(0, 2)$

Step 4

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

Remove parentheses.

$y = - \frac{6 (1)}{7} + 2$

Simplify $- \frac{6 (1)}{7} + 2$ .

Multiply $6$ by $1$ .

$y = - \frac{6}{7} + 2$

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

$y = - \frac{6}{7} + 2 \cdot \frac{7}{7}$

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

$y = - \frac{6}{7} + \frac{2 \cdot 7}{7}$

Combine the numerators over the common denominator.

$y = \frac{- 6 + 2 \cdot 7}{7}$

Simplify the numerator.

Multiply $2$ by $7$ .

$y = \frac{- 6 + 14}{7}$

Add $- 6$ and $14$ .

$y = \frac{8}{7}$

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

$(1, \frac{8}{7})$

Step 5

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

Remove parentheses.

$y = - \frac{6 (2)}{7} + 2$

Simplify $- \frac{6 (2)}{7} + 2$ .

Multiply $6$ by $2$ .

$y = - \frac{12}{7} + 2$

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

$y = - \frac{12}{7} + 2 \cdot \frac{7}{7}$

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

$y = - \frac{12}{7} + \frac{2 \cdot 7}{7}$

Combine the numerators over the common denominator.

$y = \frac{- 12 + 2 \cdot 7}{7}$

Simplify the numerator.

Multiply $2$ by $7$ .

$y = \frac{- 12 + 14}{7}$

Add $- 12$ and $14$ .

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

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

$(2, \frac{2}{7})$

Step 6

These are three possible solutions to the equation.

$(0, 2), (1, \frac{8}{7}), (2, \frac{2}{7})$

Step 7

Find Three Ordered Pair Solutions y-2=-6/7x

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