Question

The table represents a linear function.

What is the slope of the function?

–8
–4
2
5

Answer 1

the answer to the question is -4

(-4,-2) (-2,-10)

(-10+2)/(-2+4)= -8/2= -4

Answer 2

Option B is correct.

The slope of the function is, -4

Explanation:

The slope of a line is usually represented by the symbol m.

`(x_1, y_1)` represents the first point whereas
`(x_2, y_2)` represents the second point then the formula of slope is given by:

m=
`(y_2 -y_1)/(x_2-x_1)`

From the table;

Let
`(x_1, y_1)` = ( -4 , -2) and
`(x_2, y_2)` = (-2 , -10)

then,

by definition of slope we have;

m=
`(y_2 -y_1)/(x_2-x_1)` =
`(-10-(-2))/(-2-(-4))`=
`(-10+2)/(-2+4) =(-8)/(2) = -4`

Therefore, the slope of the function, m = -4