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Finding The Slope of a Line Jennifer Prince 6/18/03
Slopes are commonly associated with mountains.
The slope we are studying is associated with the graph of a line.
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
Tilt or Inclination
Vertical Change Horizontal Change This ratio is also known as Rise Run
How many points do you need to draw a line? One Two Three
Graph (3,2) and (-1,-1)
Draw a line through the points.
Now that we have our line lets find its slope. Remember we are finding the following ratio: Vertical orRise HorizontalRun
Vertical Change or the Rise 3
Horizontal Change or the Run 4 3
Vertical Rise Horizontal Run 3 4
Find the slope of the following line.
The slope is… 1 2
Find the slope of the line.
The slope is…. -3
Find the slope of these lines.
The slope is… Black line 3 Red Line 1 Blue Line-1/2
Find the slope of these lines
The slope is… Orange line0 Green LineUndefined
Lets draw a line using slope. What else do you think you need besides the slope in order to draw a line? A point!
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)
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)
The graphs are…
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.
Change in y over the change in x The formula for finding the slope of a line.
Class Activity Click on the following link for slope practice.practice
Closing Activity You will receive a second worksheet. Given 2 points, find the slope using the slope formula. You will turn in the worksheet.
Finding The Slope of a Line Slope! What is it? How do we use it? Is it ever used in the “ real world ” ?
Finding The Slope of a Line Jennifer Prince 6/18/03.
S LOPE S LOPES ARE COMMONLY ASSOCIATED WITH MOUNTAINS.
Finding The Slope of a Line Slopes are commonly associated with mountains.
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