To view this presentation, you'll need to enable Flash.

Show me how

After you enable Flash, refresh this webpage and the presentation should play.

Loading...

PPT – 66: Parallel and Perpendicular Lines PowerPoint presentation | free to download - id: f573c-Y2ZjO

The Adobe Flash plugin is needed to view this content

View by Category

Presentations

Products
Sold on our sister site CrystalGraphics.com

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

6-6 Parallel and Perpendicular Lines

OBJECTIVES You will be able to determine if two

lines are parallel or perpendicular by their

slopes, and write equations of lines that pass

through a given point, parallel or perpendicular

to the graph of a given equation.

- This section introduces two new ways to hide

the slope you need to graph a linear equation. - You will still use the point-slope and slope

formulae. - Terms to memorize
- parallel lines - two lines which do no intersect
- Parallel lines have identical slope. Memorize

this fact. - perpendicular lines - two lines which intersect

at a ninety-degree angle - Perpendicular lines have negative reciprocal

slopes. Memorize this fact.

6-6 Parallel and Perpendicular Lines

These lines are parallel.

Parallel lines never cross.

Perpendicular lines form four 90 angles.

6-6 Parallel and Perpendicular Lines

EXAMPLE 1 Write an equation in slope-intercept

form of the line that passes through (4, 0) and

is parallel to the graph of 4x - 3y 2.

Remember, to find equations of lines, we must

know two things (1) the slope, and (2) a

point. Do we know a point of this line? Yes, (4,

0) Do we know the slope? not directly slope is

hidden Since the line we are looking for is

parallel to the line given in the problem, we can

find the slope of the given line and it will be

identical to the slope of the line we are trying

to find. To find the slope of 4x - 3y 2, get

it in slope-intercept form.

4x - 3y 2

y - y1 m(x - x1)

- 3y -4x 2

Now we have the slope and a point. Use the

point-slope formula.

Finally, the problem asked that the answer be in

slope-intercept form. So solve the new equation

for y.

6-6 Parallel and Perpendicular Lines

EXAMPLE 2 Write the slope-intercept form of an

equation that passes through (8, -2) and is

perpendicular to the graph of 5x - 3y 7.

Remember, to find equations of lines, we must

know two things (1) the slope, and (2) a

point. Do we know a point of this line? Yes, (8,

-2) Do we know the slope? not directly slope is

hidden Since the line we are looking for is

perpendicular to the line in the problem, we can

find the slope of that line and it will be the

negative reciprocal of the slope of the line we

are trying to find. To find the slope of 5x - 3y

7, get it in slope-intercept form.

5x - 3y 7

Now we have the slope and a point. Use the

point-slope formula.

Finally, the problem asked that the answer be in

slope-intercept form. So solve the new equation

for y.

- 3y -5x 7

y - y1 m(x - x1)

We are looking for a line perpendicular to the

one given in the problem. The slope of the line

in the problem is 5/3. Since we are looking for

perpendicular lines, the slopes are negative

reciprocals of each other. So, the slope of the

new line will be -3/5.

6-6 Parallel and Perpendicular Lines

HOMEWORK

Page 367 21 - 39 odd

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Presentation Removal Request Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "66: Parallel and Perpendicular Lines" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!