Question

In order for the data in the table to represent a linear function

Answer 1

Answer:

Third option: $m=19$

Step-by-step explanation:

The rate of change is the slope of the line.

The formula for calculate the slope is:

$slope=\frac{y_2-y_1}{x_2-x_1}$

You know that:

$slope=-8\\y_2=m\\y_1=27\\x_2=11\\x_1=10$

Then, you can substitute them into the formula:

$-8=\frac{m-27}{11-10}$

Finally, you must solve for "m":

$-8=\frac{m-27}{11-10}\\\\-8(1)=m-27\\\\-8+27\\\\m=19$

Answer 2

Answer:

m = 19

Step-by-step explanation:

With a rate of change of -8

27 - 8 = 19

16 - 8 = 11

so m = 19