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# Rate-of-ChangeSlope Worksheet

By Doris Andrews,2014-03-31 21:11
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Rate-of-ChangeSlope Worksheet

Rate-of-Change/Slope Worksheet

Formulas

-y or rise or change in y Slope = m = y21

x-x run change in x 21

1. Graph and label each line by its two points, and compute the slope.

L1: p=(0,0) p=(5,5) m= (5-0)/(5-0) = 1 12

L2: p=(1,1) p=(-3,5) m= (5-1)/(-3-1) =-1 12

L3: p=(-3,-3) p=(6,-3) m= (-3-(-3))/(6-(-3)) = 0 12

L4: p=(0,-7) p=(7,0) m= (0-(-7))/(7-0) = 1 12

L5: p=(-8,-3) p=(-8,3) m= (3-(-3))/(-8-(-8)) = 12

= 6/0 UNDEFINED

Questions:

; Which 2 lines are parallel? L1 & L4

; What can you say about their slopes? equal

; What does a line with slope 0 look like?

horizontal

; What is the slope of a vertical line?

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s 2. What is the slope of each of the following lines?

Be sure to list which points you select as p1 &

p2.

L1: p=(-2,7), p=(6,5) m= 5-7 _ = -1 12

6-(-2) 4

L2: p=(-7,-9), p=(3,-4) m= -4-(-9) _ = 1 12

3-(-7) 2

L3: p=(-4,6), p=(-2,-4) m= -4-6 _ = -10 = -5 12

-2-(-4) 2

Questions: What can you say about the “tilt” of

lines with positive and negative slopes?

d +slope -> lower left-upper right, -slope -> upper left-lower right

Which line has greatest slope? L2 Least slope? L3 (steep slope, but negative!)

3. Challenge Question:

Consider the following data

from USA Today on the

number of students applying

to colleges using the “early

Make a scatter plot of the 7

points, draw a straight line

that seems to be a best fit,

determine the slope of this

line, and make a prediction

for 2005-6.

m=94,000-54,000 = 40000

2005-1999 6

= 6666 students/year

2005 ? 94,000 students

d 100,000

90,000

80,000

70,000

60,000

50,000

40,000

d 1997 1998 1999 2000 2001 2002 2003 2004 2005

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