Question

Phase coordinates (-9,7). Q has coordinates (11,12). M is the point on the line segment PQ such that PM/MQ = 2/3. Line L is perpendicular to the line segment PQ. L passes through M. Find an equation of L.

          Phase coordinates (-9,7). Q has coordinates (11,12). M is the point on the line segment PQ such that PM/MQ = 2/3. Line L is perpendicular to the line segment PQ. L passes through M. Find an equation of L.
        

Added by Lorena M.

Geometry A Common Core Curriculum
Geometry A Common Core Curriculum
Ron Larson, Laurie Boswell 1st Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Phase coordinates (-9,7). Q has coordinates (11,12). M is the point on the line segment PQ such that PM/MQ = 2/3. Line L is perpendicular to the line segment PQ. L passes through M. Find an equation of L.
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Kathleen Carty
Jennifer Stoner verified

Donna Densmore and 101 other subject Geometry educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-perpendicular-bisector-of-the-line-segment-overlinep-q-is-the-line-which-is-perpendicular-to-ove

The perpendicular bisector of the line segment $\overline{P Q}$ is the line which is perpendicular to $\overline{P Q}$ and passes through the midpoint of $\overline{P Q} .$ Find an equation for the perpendicular bisector of the line segment that joins the two points. $$P(1,-4), \quad Q(4,9)$$

Calculus: One Variable

Precalculus Preview

Coordinate Plane; Analytic Geometry

the-perpendicular-bisector-of-the-line-scement-overlinep-q-is-the-line-which-is-perpendicular-to-bar

The perpendicular bisector of the line scement $\overline{P Q}$ is the line which is perpendicular to $\bar{P}(2$ and passes through the midpoint of $\overline{P Q}$. Find an equation for the perpendicular bisector of the line segment that joins the two points. $$P(-1,3), \quad Q(3,-4)$$

Calculus: One and Several Variables

Precalculus Review

Coordinate Plane; Analytic Geometry

the-perpendicular-bisector-of-the-line-scement-overlinep-q-is-the-line-which-is-perpendicular-to-bar

The perpendicular bisector of the line scement $\overline{P Q}$ is the line which is perpendicular to $\bar{P}(2$ and passes through the midpoint of $\overline{P Q}$. Find an equation for the perpendicular bisector of the line segment that joins the two points. $$P(-1,3), \quad Q(3,-4)$$

Calculus: One and Several Variables

Precalculus Review

Coordinate Plane; Analytic Geometry


*

Recommended Textbooks

-
Geometry A Common Core Curriculum

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition
achievement 1,994 solutions
Geometry

Geometry

Edward Burger, David J. Chard,Earlene J. Hall 1st Edition
achievement 1,816 solutions
Geometry

Geometry

Cindy J. Boyd, Jerry Cummins, Carol E. Malloy 1st Edition
achievement 1,365 solutions

*

Transcript

-
0:00 We have two points.
00:01 We have the point negative 9, negative 7 for q.
00:05 And then we have the point up here for m, that is 11 and 12.
00:10 And we want to find the line l that is perpendicular to that that goes to this point p.
00:15 Now they tell us the ratio of p m to pq is 2 to 3.
00:20 So i'm going to separate this part of the line into two sections, 1, 2.
00:25 And then this would be separated into 3 sections, 1, 2, 3.
00:30 So we've separated this line into five parts.
00:33 So if we look at our x distance, we go 11 minus negative 9, we're going to get 20.
00:38 When we divide that by 5, that means each one of those sections has a distance of 4 horizontally.
00:46 Y, we're going to do the same thing, 12 minus 7 is 5.
00:49 We divide that by 5.
00:51 Each one of those is going to have a distance of 1 vertically.
00:55 So we're going to decrease from our point p.
00:58 We're going to decrease my 11 by 4 twice, so that's going to be 8, and by 1 twice, so that'll be 10...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever