This document discusses slopes of lines. It defines slope as the ratio of rise over run between two points on a line. It provides examples of finding the slopes of lines given two points and discusses key properties such as parallel lines having equal slopes and perpendicular lines having negative reciprocal slopes. Guided examples, practice problems, and checkpoints are provided to help students learn to find and compare slopes of lines.

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...

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
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)

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
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

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