What is the slope of the line that contains points (2,9) and (8,7) ?

slope = change in y over change in x

y = 7-9 = -2

x = 8-2 =6

 slope = -2/6 = -1/3

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

so, converting firstly the mixed fractions to improper fractions and then "adding".