3.4 FINDING AND
USING SLOPES
GEOMETRY
Mr. Saucedo
OBJECTIVE:
 We will find and compare slopes of lines.
QUESTION:
Which of these two rides have
a ste steeper slope?
How do you know?
Which of these has a
Negative slope?
Positiv...
SLOPE
 DEFINITION:
 The ratio of a vertical change (rise) to horizontal
change (run) between any two points on the line....
GUIDED EXAMPLE
 FIND THE SLOPE OF THE LINE THAT
PASSES THROUGH THE POINTS (-3, 0)
AND (-2, 4).
CHECKPOINT
 FIND THE SLOPE OF THE LINE THAT
PASSES THROUGH THE POINTS (1, 2) AND
(-1, -4)
SMART Response Questio
To set t...
MORE ON SLOPES
GUIDED PRACTICE
 Find the slope of the line.
BIG QUESTION:
If we choose different points on the line, will our
answer cha...
CHECKPOINT
 Find the slope of the
Line.
SMART Response Question
To set the properties right click and select
SMART Respon...
MORE ON SLOPES
PARALLEL LINES
HAVE
EQUAL
SLOPES!!!
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...
MORE ON SLOPES
 PERPENDICULAR LINES
Have
Negative
Reciprocal
Slopes
CHECKPOINT
 Line R and Line S are perpendicular. The
slope of line R is -3. What is the slope of line
S.
SMART Response Q...
GUIDED QUESTION
 Find the slopes of
Each line. Which are
Parallel?
Guided Question
 Draw the line that goes through the point (3,-2)
with slope -1/6.
CHECKPOINT
 Tell whether the lines through the given points
are parallel, perpendicular or neither.
Line 1: (-3,1), (-7,-...
GUIDED QUESTION
CHECKPOINT
 According to this graph, how much snow is
lost per day?
SMART Response Question
To set the properties right c...
CHECKPOINT
 How much snow was there on the first day
that the data started being recorded?
SMART Response Question
To set...
INDEPENDENT WORK
Enter the answers to the following problems on
the book. Page 175.
1. Problem 3
2. Problem 4
3. Problem 5...
HOMEWORK
 WORKBOOK PAGES 52 – 53.
PROBLEMS 1 – 31 ODDS.
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3.4 finding and using slopes

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

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3.4 finding and using slopes

  1. 1. 3.4 FINDING AND USING SLOPES GEOMETRY Mr. Saucedo
  2. 2. OBJECTIVE:  We will find and compare slopes of lines.
  3. 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. 4. SLOPE  DEFINITION:  The ratio of a vertical change (rise) to horizontal change (run) between any two points on the line.  VISUAL  FORMULA
  5. 5. GUIDED EXAMPLE  FIND THE SLOPE OF THE LINE THAT PASSES THROUGH THE POINTS (-3, 0) AND (-2, 4).
  6. 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. 7. MORE ON SLOPES
  8. 8. GUIDED PRACTICE  Find the slope of the line. BIG QUESTION: If we choose different points on the line, will our answer change?
  9. 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. 10. MORE ON SLOPES PARALLEL LINES HAVE EQUAL SLOPES!!!
  11. 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. 12. MORE ON SLOPES  PERPENDICULAR LINES Have Negative Reciprocal Slopes
  13. 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. 14. GUIDED QUESTION  Find the slopes of Each line. Which are Parallel?
  15. 15. Guided Question  Draw the line that goes through the point (3,-2) with slope -1/6.
  16. 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. 17. GUIDED QUESTION
  18. 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. 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. 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. 21. HOMEWORK  WORKBOOK PAGES 52 – 53. PROBLEMS 1 – 31 ODDS.
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