Question

A 2-column table with 5 rows. the first column is labeled x with entries negative 4, negative 1, 0, 2, 3. the second column is labeled y with entries negative 6, negative 1, 1, 4, 7. find a linear function that models the data in the table. f(x) = x

Answer 1

The linear function that models the data in the table is $y = \frac{3}{2}x + 1$

How to determine the linear model?

The table of values is given as:

x      y

-4      -6

-1     -1

0     1

2     4

3    7

The linear equation is calculated using:

$y = \frac{y_2 -y_1}{x_2 - x_1} * (x - x_1) + y_1$

So, we have:

$y = \frac{4 -1}{2 - 0} * (x - 0) + 1$

Evaluate the differences

$y = \frac{3}{2}x + 1$

Hence, the linear function that models the data in the table is $y = \frac{3}{2}x + 1$

Read more about linear functions at:

brainly.com/question/4025726

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