slope - scott county · pdf file1 slope the slope of a line is determined by any two points...

22

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

Upload: vunhi

Post on 06-Feb-2018

214 views

Category:

Documents

0 download

Report

Download

Embed Size (px):

TRANSCRIPT

Page 1: Slope - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

11

Example 9 Find the slope of the line.

Use the slope equation: slope = y2y1x2x1

Page 12: Slope - Scott County · PDF file1 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

12

Page 13: Slope - Scott County · PDF file1 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

13

Assignment: page 170 1,46,918,25,31,32,34

Page 14: Slope - Scott County · PDF file1 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

14

Page 15: Slope - Scott County · PDF file1 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

15

Page 16: Slope - Scott County · PDF file1 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

16

Page 17: Slope - Scott County · PDF file1 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

17

More Slope

Activity:

Page 18: Slope - Scott County · PDF file1 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

18

Parallel lines have the same slope.

Page 19: Slope - Scott County · PDF file1 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

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 - Scott County · PDF file1 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

20

Perpendicular lines have slopes whose product is 1.

Page 21: Slope - Scott County · PDF file1 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

21

Assignment: page 172 1024

Page 22: Slope - Scott County · PDF file1 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

22

Avalanches: forest interactions and risk managementnetriskwork.ctfc.cat/.../uploads/2017/10/KRUMM-Frank_Forest-Avala… · avalanches for different categories of slope steepness Source:

Introduction to Slope. The slope of a line is the “steepness” or “tilt” of that line. What is slope?

Section 3.1: Slope of a Line and Applications of Slope

Slope, Intercepts, and Equation of a line. Slope intercept form:

Slope of a Line Prepared by Gladys G. Poma. Concept : The slope of a straight line is a number that indicates the steepness of the line. The slope tells

SLOPE LESSON 2-3 Algebra 2. Slope Slope basically describes the steepness of a line If a line goes up from left to right, then the slope has to be

Morphotectonic architecture of the Transantarctic ...Slope is an important analytical tool in DEM analysis (Mayer, 2000). Slope steepness calculations were completed in ArcInfo 9.1

Slope. – a measure – of the steepness of a line – on a graph

Slope of a Line Segment rise run - Mr. Sardinhamrsardinha.weebly.com/uploads/1/2/3/8/12387189/6.1_notes...6.1 Slope of a Line Slope of a Line Segment The slope of a line segment is

Slope describes the steepness of a line By Angela Gallacher

2.2 Slope of a Line 8/02/g8_02_02.pdf54 Chapter 2 Graphing Linear Equations and Linear Systems 2.2 Slope of a Line How can the slope of a line be used to describe the line? Slope is

: 1. Graph: Slope InterceptStandardPoint Slope Slope FormulaSlope Y-Intercept Shade BelowShade Above Dotted Line Solid Line Ordered Pair

Chapter 6 Equations of a line. 1. Determine the slope of this line segment. Slope = 6 -4

SLOPE. The slope ( m ) of a line is a measure of how steep or slanted the line is. Just think of the pitch of a roof or steepness of a hill

Bellwork 4.3a SLOPE CONJECTURE Objectives: 1. Define the slope of a line 2. Discover formula for finding the slope of a line

Introduction To Slope. Slope is a measure of Steepness

Unit 5 Study Guide Answers. 1. Define slope and explain how to find slope from a table of values (chart). Slope is the measurement of the steepness of

The Slope of a Line Mathematicians have developed a useful measure of the steepness of a line, called the slope of the line. Slope compares the vertical

UNIVERSITI PUTRA MALAYSIA THE EFFECT OF SLOPE …psasir.upm.edu.my/id/eprint/10529/1/FK_2000_43_A.pdf · areas devoid of vegetative cover. The degree of slope steepness IS one important

Slope. Slopes (or steepness) of lines are seen everywhere

Line and its slope

Packet 2: Slope and Slope-Intercept Form of a Line Letter...Packet 2: Slope and Slope-Intercept Form of a Line Dear Parents/Guardians, Functions: Packet 2 formally introduces the slope

SLOPE. What does slope measure? Slope measures the steepness of a line

Slope Problems © 2002 by Shawna Haider. SLOPE Slope The slope of the line passing through The slope of the line passing through and is given by and is

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

Slope of a Line and Slope Intercept Form · The slope of a line in a coordinate plane is a number that describes the steepness of the line. Any two points on a line can be used to

1 Topic 4.4.3 The Slope-Intercept Form of a Line The Slope-Intercept Form of a Line

The Slope of a Line - Pacific Uzeus.cs.pacificu.edu/klawson/ma122/lectures/chapter2_Sec4.pdf · The Slope of a Line . Slope of a Line ... Finding Slope of a Line Through Two Points

Using two ordered pairs and the slope formula to find slope of the line Slope of a Straight Line Stapel, Elizabeth. "Slope of a Straight Line." Purplemath

The Slope of a Curve Since “slope” is the measure of a straight line’s steepness, it does seem, initially, quite odd to connect slopes and curves… However,

6-1 Slope. Slope is a measure of steepness. The letter “m” is used to represent slope

SLOPE-INTERCEPT FORM LINEAR FUNCTIONS. y = mx + b Slope - measure of the steepness of a line y-intercept - where the line crosses the y-axis

1 Objectives ► The Slope of a Line ► Point-Slope Form of the Equation of a Line ► Slope-Intercept Form of the Equation of a Line ► Vertical and Horizontal

10.1 Slope of a Line