Chapter 11: Q. 29 (page 616)

Find the midpoint of the segment with the given endpoints.
$(- 3, 4), (4, - 2)$

Short Answer

Expert verified

The midpoint of the segment with the endpoints $(- 3, 4), (4, - 2)$ is $(\frac{1}{2}, 1)$ .

Step by step solution

Step 1. Given Information.

The given endpoints are $(- 3, 4), (4, - 2)$ .

Step 2. Formula used.

The midpoint of the segment with the endpoints $(x_{1}, y_{1}), (x_{2}, y_{2})$ is $(\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$ .

Step 3. Calculation.

To find midpoint of the segment, substitute $(x_{1}, y_{1}) = (- 3, 4)$ and $(x_{2}, y_{2}) = (4, - 2)$ into the midpoint formula then simplify it.

$\begin{array}{l} (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) = (\frac{- 3 + 4}{2}, \frac{4 - 2}{2}) \\ (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) = (\frac{1}{2}, 1) \end{array}$

Step 4. Conclusion.

The midpoint of the segment with the endpoints $(- 3, 4), (4, - 2)$ is $(\frac{1}{2}, 1)$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Find the midpoint of the segment with the given endpoints.
$(- 3, 4), (4, - 2)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Day	1	2	3	4	5	6
Archer 1	3	5	8	4	9	1
Archer 2	4	7	6	5	8	6

Find the midpoint of the segment with the given endpoints.−3, 4, 4, −2

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Formula used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the midpoint of the segment with the given endpoints.
$(- 3, 4), (4, - 2)$