1.
3.4 FINDING AND
USING SLOPES
GEOMETRY
Mr. Saucedo
2.
OBJECTIVE:
We will find and compare slopes of lines.
3.
QUESTION:
Which of these two rides have
a ste steeper slope?
How do you know?
Which of these has a
Negative slope?
Positive slope?
4.
SLOPE
DEFINITION:
The ratio of a vertical change (rise) to horizontal
change (run) between any two points on the line.
VISUAL
FORMULA
5.
GUIDED EXAMPLE
FIND THE SLOPE OF THE LINE THAT
PASSES THROUGH THE POINTS (-3, 0)
AND (-2, 4).
6.
CHECKPOINT
FIND THE SLOPE OF THE LINE THAT
PASSES THROUGH THE POINTS (1, 2) AND
(-1, -4)
SMART Response Questio
To set the properties right click and select
SMART Response Question Object->Properties...
8.
GUIDED PRACTICE
Find the slope of the line.
BIG QUESTION:
If we choose different points on the line, will our
answer change?
9.
CHECKPOINT
Find the slope of the
Line.
SMART Response Question
To set the properties right click and select
SMART Response Question Object->Properties...
10.
MORE ON SLOPES
PARALLEL LINES
HAVE
EQUAL
SLOPES!!!
11.
CHECKPOINT
If the red and blue
Lines are parallel, and
The red line has a
Slope of -4, then what’s
The slope of the blue line?
SMART Response Question
To set the properties right click and select
SMART Response Question Object->Properties...
12.
MORE ON SLOPES
PERPENDICULAR LINES
Have
Negative
Reciprocal
Slopes
13.
CHECKPOINT
Line R and Line S are perpendicular. The
slope of line R is -3. What is the slope of line
S.
SMART Response Question
To set the properties right click and select
SMART Response Question Object->Properties...
14.
GUIDED QUESTION
Find the slopes of
Each line. Which are
Parallel?
15.
Guided Question
Draw the line that goes through the point (3,-2)
with slope -1/6.
16.
CHECKPOINT
Tell whether the lines through the given points
are parallel, perpendicular or neither.
Line 1: (-3,1), (-7,-2)
Line 2: (2,-1), (8,4)
18.
CHECKPOINT
According to this graph, how much snow is
lost per day?
SMART Response Question
To set the properties right click and select
SMART Response Question Object->Properties...
19.
CHECKPOINT
How much snow was there on the first day
that the data started being recorded?
SMART Response Question
To set the properties right click and select
SMART Response Question Object->Properties...
20.
INDEPENDENT WORK
Enter the answers to the following problems on
the book. Page 175.
1. Problem 3
2. Problem 4
3. Problem 5
4. Problem 6
5. Problem 8
6. Problem 15
7. Problem 24
8. Problem 33
9. Problem 34
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