finding the slope of a line
TRANSCRIPT
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 ChangeHorizontal 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 or Rise
Horizontal Run
Vertical Change
or the Rise
3
Horizontal Changeor 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 line 0
• Green Line Undefined
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!
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…
Work Time
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]
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]