Determine the slope of the function:

Question

Determine the slope of the function:

x	16	19	22
f(x)	2	4	6

Answer 1

We can see that x values are changing with 16+3=19, 19+3=22 change in x values is 3

also,

We can see that f(x) values are changing with 2+2=4, 4+2=6 change in x values is 2

slope of the function= change in f(x) / change in x

put values in above formula

the slope of the function= 2/3

Hence, slope of the function= 2/3

Alternative Method:

Pick any two values of x and f(x).

(16,2) & (19,4)

x1= 16,y1=2 & x2=19,y2=4

Slope of function = (y2-y1) / (x2-x1)

put the values in above formula

Slope of function = (4-2) / (19-16) = 2 / 3

Hence, the slope of the function= 2/3