$\"\"$

\

Observe the table:

\

The ordered pair are $\"\"$ .

\

Find the first differences of $\"\"$ -values in the ordered pair.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Since the first differences are all equal .

\

Hence the table of values are represent a linear function.

\

$\"\"$

\

Write an equation for the function:

\

The equation has the form of linear function is $\"\"$ .

\

The constant difference is $\"\"$ .

\

Therefore the linear equation is $\"\"$ .

\

Find the value of $\"\"$ .

\

Let the ordered pair is $\"\"$ .

\

$\"\"$ (Formula for equation)

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ in the formula)

\

$\"\"$ (Multiply)

\

$\"\"$ (Add $\"\"$ to each side)

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

Write an equation.

\

$\"\"$ (Substitute $\"\"$ and $\"\"$ in the formula)

\

An equation that models the data is $\"\"$ .

\

$\"\"$

\

The table of values represents a linear function $\"\"$ .