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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.