Find Three Ordered Pair Solutions f(x)=-7/3x

$f (x) = - \frac{7}{3} x$

Step 1

Write $f (x) = - \frac{7}{3} x$ as an equation.

$y = - \frac{7}{3} x$

Step 2

Simplify $- \frac{7}{3} x$ .

Combine $x$ and $\frac{7}{3}$ .

$y = - \frac{x \cdot 7}{3}$

Move $7$ to the left of $x$ .

$y = - \frac{7 x}{3}$

Step 3

Choose any value for $x$ that is in the domain to plug into the equation.

Step 4

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - \frac{7 (0)}{3}$

Simplify $- \frac{7 (0)}{3}$ .

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

Factor $3$ out of $7 (0)$ .

$y = - \frac{3 (7 \cdot (0))}{3}$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = - \frac{3 (7 \cdot (0))}{3 (1)}$

Cancel the common factor.

$y = - \frac{3 (7 \cdot (0))}{3 \cdot 1}$

Rewrite the expression.

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

Divide $7 \cdot (0)$ by $1$ .

$y = - (7 \cdot (0))$

Multiply $- (7 \cdot (0))$ .

Multiply $7$ by $0$ .

$y = - 0$

Multiply $- 1$ by $0$ .

$y = 0$

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

$(0, 0)$

Step 5

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

Remove parentheses.

$y = - \frac{7 (1)}{3}$

Multiply $7$ by $1$ .

$y = - \frac{7}{3}$

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

$(1, - \frac{7}{3})$

Step 6

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

Remove parentheses.

$y = - \frac{7 (2)}{3}$

Multiply $7$ by $2$ .

$y = - \frac{14}{3}$

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

$(2, - \frac{14}{3})$

Step 7

These are three possible solutions to the equation.

$(0, 0), (1, - \frac{7}{3}), (2, - \frac{14}{3})$

Step 8

Find Three Ordered Pair Solutions f(x)=-7/3x

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