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 (x 1 ,y 1 ) and (x 2 ,y 2 ): slope = y 2 y 1 x 2 x 1
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
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
2
Example 1 Find the slope of the line that passes through(1,2) and (3,4).
Use the slope equation: slope = y2y1x2x1
3
Example 2 Find the slope of the line that passes through(1,2) and (4,1).
Use the slope equation: slope = y2y1x2x1
4
Example 3 Find the slope of the line that passes through(1,2) and (1,2).
Use the slope equation: slope = y2y1x2x1
5
Example 4 Find the slope of the line that passes through(1,2) and (1,3).
Use the slope equation: slope = y2y1x2x1
6
Example 5 Find the slope of the line that passes through(3,2) and (5,5).
Use the slope equation: slope = y2y1x2x1
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)
8
Example 6 Find the slope of the line that passes through(3,4) and (2,8).
Use the slope equation: slope = y2y1x2x1
9
Example 7 Find the slope of the line that passes through(2,4) and (2,3).
Use the slope equation: slope = y2y1x2x1
10
Example 8 Find the slope of the line that passes through(3,4) and (4,4).
Use the slope equation: slope = y2y1x2x1
11
Example 9 Find the slope of the line.
Use the slope equation: slope = y2y1x2x1
12
13
Assignment: page 170 1,46,918,25,31,32,34
14
15
16
17
More Slope
Activity:
18
Parallel lines have the same slope.
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.
20
Perpendicular lines have slopes whose product is 1.
21
Assignment: page 172 1024
22
Related Documents
