Problem 1

For each pair of points, find the slope of the line that passes through the points.

a) (- 9, 13) and (- 3, 9)

b) (3, 6) and (9, 1)

c) (- 3, 9) and (9 , 1)

d) (- 9, 13) and (3, 6)

Problem 2

a) Consider the four points used in Problem 1: (- 9, 13), (- 3, 9), (3, 6) and (9, 1).

Three out of four of these points lie on one line. Which one of the four points does

not lie on the same line as the other three? Justify your answer using slope.

b) Find the equation of the line that contains three out of the four points.

Problem 3

A baseball is thrown upward from the top of a 448-ft-tall building with an initial velocity of

96 feet per second. The height, , of the baseball above the ground seconds after being

thrown is given by the function () = 16

2 + 96 + 448.

a) Find the height of the baseball 2 seconds after it is thrown.

b) Find the height of the baseball 3 seconds after it is thrown

c) Find the height of the baseball 4 seconds after it is thrown.

d) The ball seems to be at the same exact height at 2 seconds and at 4 seconds. How

can that be true?