Question

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

with a rate of change of -8, what must be the value of m?
Om = 2
Om = 3
Om = 19
m = 35

Answer 1

m = 19

Explanation:

With a rate of change of -8

27 - 8 = 19

16 - 8 = 11

so m = 19

Answer 2

Third option:
`m=19`

Explanation:

The rate of change is the slope of the line.

The formula for calculate the slope is:

`slope=(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=(m-27)/(11-10)`

Finally, you must solve for "m":

`-8=(m-27)/(11-10)\\\\-8(1)=m-27\\\\-8+27\\\\m=19`