Question

The table represents a linear function.

What is the slope of the function?

–8
–4
2
5

Answer 1

a = (y-yo)/(x-xo)
a = (-10-(-2)) / (-2-(-4))
a = (-10+2) / (-2+4)
a = -8 /2
a = -4

Answer 2

Answer: The correct option is (B) -4.

Step-by-step explanation: Given that the table shown represents a linear function.

We are to find the slope of the function.

We know that

the slope of a linear function satisfying the points (a, b) and (c, d) is given by

`m=(d-b)/(c-a).`

From the table, we note that

the given linear function satisfy the points (-4, -2) and (-2, -10).

Therefore, the slope of the linear function will be

`m=(-10-(-2))/(-2-(-4))=(-8)/(2)=-4.`

Thus, the required slope of the function is -4.

Option (B) is CORRECT.