1) Find the slope of the line



1) Find the slope of the line.

The slope of the line is m=

(0, 5) and (3,9)

Rise/run

= (9-5)/(3-0)

= 4/3

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2) Graph the equation using the slope and the y-intercept. Y= 1/5x +4

Slope = 1/5

Y intercept = (0,4)

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3) For the graph find the average rate of change as a reduced fraction. Also, state the appropriate units (do not abbreviate).

Rate = (350-50)/(9-0)

The rate of change is (do not enter the units) = 100/3 (that’s a fraction)

The appropriate units are pages per--- day

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4) Graph the equation by plotting points y= -4

It’ll be horizontal at y = -4:

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5) Determine whether the graphs of the pair of lines are parallel.

X+12= y

y-x = -8

y = x - 8

What is the slope of the line x+12=y? 1

What is the slope of the line y-x= -8? 1

Are the graphs of the given equations parallel?

YES

6) Use the graph of the function f to find f (2), f (3) and f (4).

F(2) = 2

F(3) = 8

F(4) = 6

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7) Given the function k(r) =9r+5, find each of the following:

K (10) = 9*10 + 5 = 95

K (-5) = 9*-5 + 5 = -40

K (6.7) = 9*6.7 + 5 = 65.3

8) The table lists data regarding the average salaries of several professional athletes in the years 1991 and 2001.

Salary

$277,000 (in 1991)

$1,350,000 (in 2001)

Slope = rise/run = (1350000-277000)/(2001-1991) = 107300

a)Use the data points to find a linear function that fits the data.

F(x) = 107300x + 277000 (assuming t = 0 is 1991)

b) Use the function to predict the average salary in 2005 and 2010.

The predicted average salary for 2005 is $---- 1779200

The predicted average salary for 2010 is $---- 2315700

9) Use the graph of the function to find the following.

F(0)= 0

What is the domain? All real numbers

Find all x values such that f(x)= -4

At x = -2

What is the range? All real numbers

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