slope - home - scott county schools...slope the slope of a line is determined by any two points on a...
TRANSCRIPT
![Page 1: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/1.jpg)
1
Slope
The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and can be calculated using the formula: run
Given two points on the line known as (x1,y1) and (x2,y2):
slope = y2y1x2x1
![Page 2: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/2.jpg)
2
Example 1 Find the slope of the line that passes through(1,2) and (3,4).
Use the slope equation: slope = y2y1x2x1
![Page 3: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/3.jpg)
3
Example 2 Find the slope of the line that passes through(1,2) and (4,1).
Use the slope equation: slope = y2y1x2x1
![Page 4: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/4.jpg)
4
Example 3 Find the slope of the line that passes through(1,2) and (1,2).
Use the slope equation: slope = y2y1x2x1
![Page 5: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/5.jpg)
5
Example 4 Find the slope of the line that passes through(1,2) and (1,3).
Use the slope equation: slope = y2y1x2x1
![Page 6: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/6.jpg)
6
Example 5 Find the slope of the line that passes through(3,2) and (5,5).
Use the slope equation: slope = y2y1x2x1
![Page 7: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/7.jpg)
7
Find the slope between each pair of points.
1. (0,2)(4,0)2. (1,5)(3,0)3. (0,5)(5,0)4. (1,2)(1,4)5. (3,8)(1,4)
![Page 8: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/8.jpg)
8
Example 6 Find the slope of the line that passes through(3,4) and (2,8).
Use the slope equation: slope = y2y1x2x1
![Page 9: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/9.jpg)
9
Example 7 Find the slope of the line that passes through(2,4) and (2,3).
Use the slope equation: slope = y2y1x2x1
![Page 10: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/10.jpg)
10
Example 8 Find the slope of the line that passes through(3,4) and (4,4).
Use the slope equation: slope = y2y1x2x1
![Page 11: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/11.jpg)
11
Example 9 Find the slope of the line.
Use the slope equation: slope = y2y1x2x1
![Page 12: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/12.jpg)
12
![Page 13: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/13.jpg)
13
Assignment: page 170 1,46,918,25,31,32,34
![Page 14: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/14.jpg)
14
![Page 15: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/15.jpg)
15
![Page 16: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/16.jpg)
16
![Page 17: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/17.jpg)
17
More Slope
Activity:
![Page 18: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/18.jpg)
18
Parallel lines have the same slope.
![Page 19: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/19.jpg)
19
1. Graph the points A(1,1) and B (4,4) .2. Use a straight edge to draw line AB .3. Graph the points C(1,1) and D(0,0).4. Use a straight edge to draw line CD.5. Label the intersection point E.6. Use a protractor to measure <AEC.7. What is the relationship between line AB and line CD?8. Find the slope of line AB .9. Find the slope of line CD.10. Multiply them together.
![Page 20: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/20.jpg)
20
Perpendicular lines have slopes whose product is 1.
![Page 21: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/21.jpg)
21
Assignment: page 172 1024
![Page 22: Slope - Home - Scott County Schools...Slope The slope of a line is determined by any two points on a line and describes the steepness of the line. It is often referred to as rise and](https://reader033.vdocuments.mx/reader033/viewer/2022053118/609e31786210e7788f5bb1a0/html5/thumbnails/22.jpg)
22