Question

The table represents a linear function. What is the slope of the function?-10 –5 5 10

Answer 1

the answer would be option 3, which is 5 

Answer 2

Answer:  The correct option is (C) 5.

Step-by-step explanation:  We are given to find the slope of the linear function represented by the table below:

x   -4    -2     0      2      4

y    -16  -6    4     14     24

Therefore, the points lying on the straight line represented by the function are

(x, y) = (-4, -16), (-2, -6), (0, 4), (2, 14), (4, 24), etc..

We know that if (a, b) and (c, d) be any two points lying on a straight line, then the slope of the line will be

$s=\dfrac{d-b}{c-a}.$

Let,

$(x_1, y_1)=(0,4)~~\textup{and}~~(x_2,y_2)=(2,14)$ be the two points.

Therefore, the slope of the given linear function is

$s=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{14-4}{2-0}=\dfrac{10}{2}=5.$

Thus, the slope of the function is .

Option (C) is correct.