Algebra Examples

$f (x) = 6 - 4 x$

Step 1

Write $f (x) = 6 - 4 x$ as an equation.

$y = 6 - 4 x$

Step 2

Reorder $6$ and $- 4 x$ .

$y = - 4 x + 6$

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.

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Step 4.1

Remove parentheses.

$y = - 4 \cdot 0 + 6$

Step 4.2

Simplify $- 4 \cdot 0 + 6$ .

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Step 4.2.1

Multiply $- 4$ by $0$ .

$y = 0 + 6$

Step 4.2.2

Add $0$ and $6$ .

$y = 6$

Step 4.3

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.

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Step 5.1

Remove parentheses.

$y = - 4 \cdot 1 + 6$

Step 5.2

Simplify $- 4 \cdot 1 + 6$ .

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Step 5.2.1

Multiply $- 4$ by $1$ .

$y = - 4 + 6$

Step 5.2.2

Add $- 4$ and $6$ .

$y = 2$

Step 5.3

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

$(1, 2)$

Step 6

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

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Step 6.1

Remove parentheses.

$y = - 4 \cdot 2 + 6$

Step 6.2

Simplify $- 4 \cdot 2 + 6$ .

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Step 6.2.1

Multiply $- 4$ by $2$ .

$y = - 8 + 6$

Step 6.2.2

Add $- 8$ and $6$ .

$y = - 2$

Step 6.3

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

$(2, - 2)$

Step 7

These are three possible solutions to the equation.

$(0, 6), (1, 2), (2, - 2)$

Step 8

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