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Finding The Slope of a Line Jennifer Prince 6/18/03.

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Presentation on theme: "Finding The Slope of a Line Jennifer Prince 6/18/03."— Presentation transcript:

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2 Finding The Slope of a Line Jennifer Prince 6/18/03

3 Slopes are commonly associated with mountains.

4 The slope we are studying is associated with the graph of a line.

5 Definitions of Slope The tilt or inclination of a line The ratio of vertical change to horizontal change. The change in y over the change in x

6 Tilt or Inclination

7 Vertical Change Horizontal Change This ratio is also known as Rise Run

8 How many points do you need to draw a line? One Two Three

9 Graph (3,2) and (-1,-1)

10 Draw a line through the points.

11 Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun

12 Vertical Change or the Rise 3

13 Horizontal Change or the Run 4 3

14 Vertical Rise Horizontal Run 3 4

15 Find the slope of the following line.

16 The slope is… 1 2

17 Find the slope of the line.

18 The slope is…. -3

19 Find the slope of these lines.

20 The slope is… Black line 3 Red Line 1 Blue Line-1/2

21 Find the slope of these lines

22 The slope is… Orange line0 Green LineUndefined

23 Lets draw a line using slope. What else do you think you need besides the slope in order to draw a line? A point!

24 If you know the slope and one point on the line you can draw the line. Example: slope is 1/3 and the point (-2,-1)

25 Now you draw a line. Given: slope is 2/3 and the point is (1,0) Given: slope is –3 and the point is (–2,4) Given: slope is 1 and the point is (2,3)

26 The graphs are…

27 Student Activity You will now receive a worksheet. You are to find the slope of a line and draw a line given the slope and a point. Turn the worksheet in when completed.

28 Work Time

29 Change in y over the change in x The formula for finding the slope of a line.

30 Class Activity Click on the following link for slope practice.practice

31 Closing Activity You will receive a second worksheet. Given 2 points, find the slope using the slope formula. You will turn in the worksheet.


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