4 6 slope n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
4.6 Slope PowerPoint Presentation
Download Presentation
4.6 Slope

Loading in 2 Seconds...

play fullscreen
1 / 9

4.6 Slope - PowerPoint PPT Presentation


  • 121 Views
  • Uploaded on

4.6 Slope. Objective: After studying this lesson you will be able to understand the concept of slope, relate the slope of a line to its orientation in the coordinate plane and recognize the relationships between slopes of parallel and perpendicular lines.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '4.6 Slope' - jiro


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
4 6 slope

4.6 Slope

Objective:

After studying this lesson you will be able to understand the concept of slope, relate the slope of a line to its orientation in the coordinate plane and recognize the relationships between slopes of parallel and perpendicular lines.

slide2

Definition The slope m of a nonvertical line, segment, or ray containing (x1, y1) and (x2, y2) is defined by the formula

Example. Find the slope of the segment joining (-2, 3) and (6, 5)

slide3

When the slope formula is applied to a vertical line such as line CD, the denominator is zero. Division by zero is undefined, so a vertical line has no slope.

C (6, 12)

D (6, 2)

slide4

A Visual Interpretation of Slope

Positive slope

Zero slope

Rising line

Horizontal line

Negative slope

No slope

Falling line

Vertical line

slide5

Theorem If two nonvertical lines are parallel, then their slopes are equal.

Theorem If the slopes of two nonvertical lines are equal, then the lines are parallel.

slide6

It can also be shown that there is a relationship between the slopes of two perpendicular lines—they are opposite reciprocals of each other.

example

Theorem If two lines are perpendicular and neither is vertical, each line’s slope is the opposite reciprocal of the other’s.

Theorem If a line’s slope is the opposite reciprocal of the another, the two lines are perpendicular.

slide7

You Try!

1. If A = (4, -6) and B = (-2, -8), find the slope of line AB.

2. Show that CEF is a right triangle

F (4, 7)

E (8, 4)

C (1, 3)

slide8

Given: ABE as shown

    • Find: a. The slope of the altitude AC
    • b. The slope of the median AD

A (-2, 10)

E (6, 5)

B (-4, 3)

slide9

Summary:

Describe how to find slope. How can you tell without graphing if lines are parallel? Perpendicular?

Homework: worksheet