Find Three Ordered Pair Solutions f(x)=1/4x+6

$f (x) = \frac{1}{4} x + 6$

Step 1

Write $f (x) = \frac{1}{4} x + 6$ as an equation.

$y = \frac{1}{4} x + 6$

Step 2

Combine $\frac{1}{4}$ and $x$ .

$y = \frac{x}{4} + 6$

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.

$y = \frac{0}{4} + 6$

Simplify $\frac{0}{4} + 6$ .

Divide $0$ by $4$ .

$y = 0 + 6$

Add $0$ and $6$ .

$y = 6$

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

$(0, 6)$

Step 5

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

Remove parentheses.

$y = \frac{1}{4} + 6$

Simplify $\frac{1}{4} + 6$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = \frac{1}{4} + 6 \cdot \frac{4}{4}$

Combine $6$ and $\frac{4}{4}$ .

$y = \frac{1}{4} + \frac{6 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = \frac{1 + 6 \cdot 4}{4}$

Simplify the numerator.

Multiply $6$ by $4$ .

$y = \frac{1 + 24}{4}$

Add $1$ and $24$ .

$y = \frac{25}{4}$

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

$(1, \frac{25}{4})$

Step 6

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

Remove parentheses.

$y = \frac{2}{4} + 6$

Simplify $\frac{2}{4} + 6$ .

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{4} + 6$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = \frac{2 \cdot 1}{2 \cdot 2} + 6$

Cancel the common factor.

$y = \frac{2 \cdot 1}{2 \cdot 2} + 6$

Rewrite the expression.

$y = \frac{1}{2} + 6$

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

$y = \frac{1}{2} + 6 \cdot \frac{2}{2}$

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

$y = \frac{1}{2} + \frac{6 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{1 + 6 \cdot 2}{2}$

Simplify the numerator.

Multiply $6$ by $2$ .

$y = \frac{1 + 12}{2}$

Add $1$ and $12$ .

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

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

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

Step 7

These are three possible solutions to the equation.

$(0, 6), (1, \frac{25}{4}), (2, \frac{13}{2})$

Step 8

Find Three Ordered Pair Solutions f(x)=1/4x+6

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