Rate-of-Change/Slope Worksheet
Slope = m = y2-y1
x2-x1
or
rise
run
or
Formulas
change in y
change in x
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)
L2: p1=(1,1) p2=(-3,5)
L3: p1=(-3,-3) p2=(6,-3)
L4: p1=(0,-7) p2=(7,0)
L5: p1=(-8,-3) p2=(-8,3)
m=
m=
m=
m=
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?
2. What is the slope of each of the followings lines?
Be sure to list which points you select as p1 & p2.
L1
L1:
L3
L2:
L3:
L2
Questions: What can you say about the “tilt” of
lines with positive and negative slopes?
d
Which line has greatest slope? Least slope?
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 2005-6.
d
d