finding slopes of perpendicular and parallel lines. Intro to geometry. Chapter 3

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
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SMART Response Question Object->Properties...

7. MORE ON SLOPES

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
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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
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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
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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)

17. GUIDED QUESTION

18. CHECKPOINT
 According to this graph, how much snow is
lost per day?
SMART Response Question
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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
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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

21. HOMEWORK
 WORKBOOK PAGES 52 – 53.
PROBLEMS 1 – 31 ODDS.