Rate-of-Change/Slope Worksheet



Rate-of-Change/Slope Worksheet

Formulas

Slope = m = y2-y1 or rise or change in y

x2-x1 run change in x

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

L1: p1=(0,0) p2=(5,5) m=

L2: p1=(1,1) p2=(-3,5) m=

L3: p1=(-3,-3) p2=(6,-3) m=

L4: p1=(0,-7) p2=(7,0) m=

L5: p1=(-8,-3) p2=(-8,3) m=

Questions:

• Which 2 lines are parallel?

• What can you say about their slopes?

• What does a line with slope 0 look like?

• What is the slope of a vertical line?

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2. What is the slope of each of the following lines? Be sure to list which points you select as p1 & p2.

L1:

L2:

L3:

Questions: What can you say about the “tilt” of lines with positive and negative slopes?

Which line has greatest slope? Least slope?

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3. Challenge Question: Consider the following data from USA Today on the number of students applying to colleges using the “early admission” option.

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 2015-2016. What will be the estimated cost for your first year of High School.

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L3

L2

L1

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