Chapter 3 Introduction Slope of a line

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• Line - never ends
- has arrows at both ends to
represent that it goes on for
ever.
• Line Segment - has a starting
point and an end point.
(1,5)
(6,5)
Formula:
Slope = RISE
RUN
RISE - is related to the vertical axis on the Cartesian plane
- Therefore how far up and down you go.
RUN - is related to the horizontal axis on the Cartesian plane.
- Therefore how far over you go to the left or right.
NOTE: A slope can be negative or positive.
Find the slope of the
following line segment
Slope = RISE
RUN
= 6 = 3
4
2
Leave your answer of slope as a fraction.
This is a positive slope
because you are going up
from left to right.
Find the slope of the
following line segment
Slope = RISE
RUN
= -3 = -3
1
Place answer as a whole number because
the denominator is one.
This is a negative slope
because you are going
down left to right.
These are both examples of a
linear lines because they are
straight lines.
THE SLOPE OF A LINE IS THE
SLOPE OF ANY SEGMENT OF
THE LINE
The slopes of all
segments of a line are
equal.
Notice that the slope
is the same between
any two points.
RISE = 2 = 1
Slope AB = RUN
2
Slope BD = RISE = 4 = 1
RUN
4
Graph A(2,1), B(6,4).
Then find the slope.
Slope =
=
RISE
RUN
3
4
Graph C(-2,1), D(3,3).
Then find the slope.
Slope = RISE
RUN
Graph C(-2,1), D(3,3).
Then find the slope.
RISE
Slope = RUN
=
2
5
Graph the line segment
A(-2,-3), E(2,5).
a) Name 3 other points on that
Graph ( B, C, D)
b) Find the slope of AE
c) Find the slope of AB
d) Find the slope of BC
e) Find the slope of CD
f) What do you notice about your
answers
Graph the line segment
A(-2,-3), E(2,5).
A)
8
b) Slope AE = 4
2
c) Slope AB = 1
d) Slope BC = 2
1
2
e) Slope CD = 1
f) All slopes are the
same
CLASS WORK
• Check solutions to Lesson
8(2)
• Copy notes and examples
from this lesson
• Do Lesson 9 worksheet
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