03.03 skm & pp 1 slope. 03.03 skm & pp 2 definition: slope the slope of the line containing...
TRANSCRIPT
![Page 1: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/1.jpg)
03.03 S KM & PP 1
Slope
![Page 2: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/2.jpg)
03.03 S KM & PP 2
Definition: Slope
The slope of the linecontaining points
P1(x1, y1) and P2(x2, y2) is given by
21
12
12 xx,xxyy
m
The denominator
can’t be zero.
![Page 3: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/3.jpg)
03.03 S KM & PP 3
A Slope Triangle
21
12
12 xx,xxyy
m
P1(x1, y1)
RUNx2 - x1
RISEy2 - y1
P2(x2, y2)
RISEy2 - y1
x2 - x1
RUN
![Page 4: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/4.jpg)
03.03 S KM & PP 4
m
Slope
xy
21
12
12 xx,xxyy
m
xinchange
yinchange
RunRise
xdelta
ydelta
![Page 5: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/5.jpg)
03.03 S KM & PP 5
Compute the Slope
(-2, -3)
(4, -1)
3
1
6
2
24
31
)(
m
upwards
![Page 6: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/6.jpg)
03.03 S KM & PP 6
Another Slope
(-4, -3)
(0, 5)
21
2
4
8
40
35
m
upw
ards
![Page 7: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/7.jpg)
03.03 S KM & PP 7
Compute this Slope
(-5, 2)
(4, -1)
3
1
9
3
54
21
)(
m
DOWNWARDS
![Page 8: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/8.jpg)
03.03 S KM & PP 8
Compute the Slope
(-5, -1)
(4, -1)
0
9
0
54
11
)(
m
HORIZONTAL
![Page 9: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/9.jpg)
03.03 S KM & PP 9
Compute the Slope
(-4, -5)
(-4, 0)
Undefined
)(m
0
5
44
50
VER
TIC
AL
![Page 10: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/10.jpg)
03.03 S KM & PP 10
SLOPEBASICS
POSITIVE SLOPE The line rises from left to right.
ZERO SLOPE The line is HORIZONTAL (zero rise)
NEGATIVE SLOPEThe line falls from left to right.
UNDEFINED SLOPEThe line is VERTICAL (zero run)
![Page 11: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/11.jpg)
03.03 S KM & PP 11
Practice Problem 1a
3
2
Determine the slope of the line
containing points P1 and P2. ),(P 571 ),(P 912
6
4
71
59
)(
m
RUN = 3
RISE = 2
The line rises from left to right.
![Page 12: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/12.jpg)
03.03 S KM & PP 12
Practice Problem 1b
Determine the slope of the line
containing points P1 and P2. ),(P 531 ),(P 232
0
7
33
52
)(
m
The slope is undefined.
Vertical Line
![Page 13: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/13.jpg)
03.03 S KM & PP 13
Practice Problem 1c
2
1
Determine the slope of the line
containing points P1 and P2. ),(P 301 ),(P 542
4
2
04
35
)(
m
RUN = 2
RISE = -1
The line falls from left to right.
![Page 14: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/14.jpg)
03.03 S KM & PP 14
Practice Problem 1d
0
Determine the slope of the line
containing points P1 and P2. ),(P 571 ),(P 512
6
0
71
55
)(
m
RUN = 6RISE = 0
The line is Horizontal.
![Page 15: 03.03 SKM & PP 1 Slope. 03.03 SKM & PP 2 Definition: Slope The slope of the line containing points P 1 (x 1, y 1 ) and P 2 (x 2, y 2 ) is given by The](https://reader035.vdocuments.site/reader035/viewer/2022062408/56649f285503460f94c3ffea/html5/thumbnails/15.jpg)
03.03 S KM & PP 15
That’s All for Now!