Blitzer 2.4 Math 152 Linear Functions Slope Worksheet Page 2
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7III.
Slope of a line
A. The slope of a line measures the steepness of a line. The slope is thought of as the
change in y
rise
=
ratio that compares the change in y to the change in x.
change in x
run
B. If (x
, y
) and (x
, y
) are two points, the slope of the line through them is:
1
1
2
2
slope = m =
This is known as the _____________________.
C. The slope tells us the direction of the line:
a. positive:
line rises from left to right
b. negative:
line falls from left to right
c. zero:
line is horizontal
d. undefined:
line is vertical
Examples: Find the slope of the line passing through the pair of points or state that the
slope is undefined. Then indicate whether the line rises, falls, is horizontal or is vertical.
1)
(2, 4) and (−1,3)
2) (5, −1) and (8,−4)
3) (2, 4) and (5,4)
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