Slope of a line ppt

1. M. Pickens 2006
Slope of a Line

2. Objectives
NILL 2022
Bytheendof thelessonstudentsshould
beableto:
• Describethetrendsof thegraphbythe
valueof theslope
• Findtheslopeof alinethroughtwo
points;and
• Relatethelessoninreallifesetting.

3. Reviewing Previous lesson

4. PRE-TEST

5. Let’s graph:
1. A(3,-1) and B(3,-5)
2. A(-5,1) and B(-1,1)
3. A(-5,-1) and B(-1,4)
4. A(1,2) and B(4,3)
Guide Question:
What are the trends of the four different graph?

6. Let’s graph:
1. A(3,-1) and B(3,-5)
2. A(-5,1) and B(-1,1)
3. A(-5,-1) and B(-1,4)
4. A(1,2) and B(4,3)
Guide Question:
What are the trends of the four different graph?
Ans: 1.The graph is a vertical line
2.The graph is a horizontal line
3.The graph is increasing
4.The graph is decreasing

7. When I was a child, my sister and I walked 2
kilometers each day for school. Part of that walk
included a very steep hill. One rainy day, we were
walking down the slippery hill and my sister slipped
and fell. Her school books came out of her hands and
slid all the way down the hill and into a storm sewer.
When we arrived at school, we told our teacher about
our ordeal. To this day, I remember that very steep hill.

8. Whatis Slope?
Slope is the rate of change of a line
run
slope 
rise
x
slope 
y (change in y)
(change in x)
x2  x1
slope 
y2  y1
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9. Whatdoesthelinelooklike when…
• Youhavepositive slope?
• Youhavenegative slope?
• Youhavezero slope?
• YouhaveNO slope?
NILL 2022

10. M. Pickens 2006
Slope
Mountain
Ski Resort
Positive
slope,
+ work
Negative
slope,
- work
Zero
slope is
zero fun!
NO
slope.
Oh No!!!!
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11. LetsCheer
Positive,
Negative
Zero
NO
X-
Axis
Y-Axis
Go, Go, Go
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12. WhatTypeofSlope is
Shown?
Positive Slope
Negative Slope
ZeroSlope
No
Slope/Undefined
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13. Slopeoflinethrough2 points
• Tofindtheslopeof alinethrough2
givenpointsweusethe formula
-3, 5
)
2, 18
)
x2  x1
slope 
y2  y1
X1 X2
y1 y2
x2  x1
slope 
y2  y1
• Forexample,Findtheslopeof aline
that goesthrough(-3 5 and ( 2 18
5

13
NILL 2021

14. Giventwopointsonaline,findthe slope:
3. (5, -1), (9, -4)
rise

y2  y1
run x2  x1
x2  x1
y2  y1

 7 4  7 4 3
2  4

 2

 4  1

 41

9 5 95
3
4
1. (9, 2), (8, -7)
X1 y1 X2 y2
2. (-4, 4), (-7, 2)
 7 2

9
 9
89 1
X1
y1 X2
2 4
y2
X1 y1 X2
y2

2
3
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15. Giventwopointsonaline,findthe slope:
rise

y2  y1
run x2  x1
x2  x1
y2  y1
1 3

33 33 0
6. (-4, -2), (4, -2)
1 3

2
 Undefined, NO slope
 2 2

 2  2
 0
 0
4. (5, 2), (1, 0)
X1 y1 X2 y2
5. (3, -3), (3, -1)
0  2

 2

1
1 5  4 2
y1 X2
X1 y2
4 4 4 4 8
X1 y1 y2
X2
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16. Group Activity:
The class will be divided into four groups. Each group will solve the given points using the
Slope formula. (Each students will show their answer in their activity notebook and will
be given 10 points if they have the correct answer.)
Group 1: A(3,-1) and B(3, -5)
Group 2: A(-5,1) and B(-1, 1)
Group 3: A(-5,-1) and B(-1, 4)
Group 4: A(1,-2) and B(4, -3)

17. Applications in real life setting:

19. Applications in real life setting:
Some real life examples of slope include:
•in building roads, one must figure out how steep the road will be.
•skiers/snowboarders need to consider the slopes of hills in order to
judge the dangers, speeds, etc.
•when constructing wheelchair ramps, slope is a major consideration

20. "In battle, casualties vary directly with the time you are exposed to
effective fire. . . A pint of sweat will save a gallon of blood."
- - George S. Patton Jr.

21. WW II: JAPANESE DEFENSES ON THE PHILIPPINES- -THE 6TH ID
Reverse slope defenses were more often used by enemy forces in WW II
and Korea than by U.S. units. During operations on Luzon in the Philippines
(July 1945), the 6th Infantry Division discovered how the Japanese used
such defenses to good effect.
LESSON LEARNED
The reverse slope defense protects the infantryman from enemy long-
range direct and indirect fires.

22. Generalization
• Describetheslopeof eachof thefollowing
• Slope is:
the rate of change of a line
run
slope 
rise
x2  x1
slope 
y2  y1
Negative slope
No slope
Undefined/ Positive slope Zero/0 slope
NILL 2021

23. POST TEST

24. Find the Slope of the line:
1. A(3,-1) and B(3,-5)
2. A(-5,1) and B(-1,1)
3. A(-5,-1) and B(-1,4)
4. A(1,2) and B(4,3)

25. Assignment:
The students will answer the worksheet: