MA 22000, Lesson 9 notes
Section 1.3 (2
nd
half of book), pg. 24
Slope:
Definition:
The slope of a line is the ratio of the ‘change’ in
y
to the ‘change’ in
x
.
1
1
2
2
2
1
2
1
1
2
Given 2 points of a line, (
,
) and (
,
)
change in
slope =
change in
(where
)
x
y
x
y
y
y
rise
y
y
m
x
x
run
x
x
x
x
Ex 1:
Find the slope of a line containing each pair of points.
a)
( 3,
4), (2, 2)
b)
(4,2) and (
7,2)
c)
(
5,8) and (2,3)
d)
(3,9) and (3,6)
As illustrated above, there are 4 types of slopes.
1.
A line with a
positive slope
rises left to right.
2.
A line with a
negative slope
falls left to right.
3.
A line with a
zero slope
is horizontal.
4.
A line with an
undefined slope
(zero denominator) is vertical.
Positive slope
Negative slope
Zero slope
Undefined slope
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Linear Equations:
Begin with the slope formula, letting
1
1
(
,
)
x
y
be one point of a line and any other point be (
x
,
y
).
Cross multiply and the result is called the
PointSlope form
of a line.
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 Spring '08
 Staff
 Slope, average weekly salary

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