Question

What is the slope of the function, represented by the table of values below?

Answer 1

Answer: Option A

$m=-4$

Step-by-step explanation:

First we calculate the slope for the first two values of the table:

$x_1 = -2,\ y_1=13$

$x_2 = 0,\ y_2=5$

The formula to calculate the slope m is:

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

So

$m=\frac{5-13}{0-(-2)}$

$m=-4$

Now we calculate the slope for following values of the table:

$x_1 = 0,\ y_1=5$

$x_2 = 3,\ y_2=-7$

$m=\frac{-7-5}{3-0}$

$m=-4$

The slope is always the same, so the values in the table represent those of a linear function of slope $m = -4$

Answer 2

Answer:

The correct option is A....

Step-by-step explanation:

We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:

m = y2-y1 / x2-x1

m = 5-13/ 0-(-2)

m = -8/0+2

m = -8/2

m = -4

We can check this answer by using a different pair: Take the last two pairs.

m = -27-(-15)/ 8-5

m = -27+15/3

m = -12/3

m = -4

Thus the slope is -4

The correct option is A....