finding the slope of a line
TRANSCRIPT
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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 ChangeHorizontal 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 or Rise
Horizontal Run
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Vertical Change
or the Rise
3
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Horizontal Changeor 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 line 0
• Green Line Undefined
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Let’s 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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Work Time
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Find the slope ( gradient ) of the lines : L1 , L2 , L3 , L4 in the figure
الشكل : في المستقيمات ميل L1 , L2 , L3 , L4أوجد
Worksheet ( 1 )
m1 = ……… , m2 = ……….. , m3 = ……….. , m4 = ………..
L 1L 2
L 3
L 4 Zayed althani schoolMath department
Mohamad badawi : [email protected]
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Draw lines : L1 & L2 such that :
Worksheet ( 2 )
Slope of L1 = and passes through ( – 3 , 5 )
Slope of L2 = 3 and passes through ( 3 , – 4 )
– 3 4
Zayed althani schoolMath department
Mohamad badawi : [email protected]