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

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Slopes are commonly associated with mountains.

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

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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

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Tilt or Inclination

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

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

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

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Draw a line through the points.

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

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Vertical Change or the Rise 3

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Horizontal Change or the Run 4 3

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Vertical Rise Horizontal Run 3 4

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Find the slope of the following line.

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The slope is… 1 2

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Find the slope of the line.

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The slope is…. -3

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Find the slope of these lines.

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

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Find the slope of these lines

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The slope is… Orange line0 Green LineUndefined

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

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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)

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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)

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The graphs are…

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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.

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Work Time

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

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

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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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