Chapter 1: Q. 60 (page 15)

Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (- 4, - 3); P_{2} = (2, 2)$

Short Answer

Expert verified

The midpoint of line segment is $(- 1, - \frac{1}{2})$ .

Step by step solution

Step 1. Given information.

Find the midpoint of the line segment joining the points P₁ and P₂ .

$P_{1} = (- 4, - 3); P_{2} = (2, 2)$

Step 2. Midpoint Formula.

The midpoint $M = (x, y)$ of the line segment from $P_{1} = (x_{1}, y_{1}) to P_{2} = (x_{2}, y_{2})$ is

$M = (x, y) = (\frac{x_{1} + x_{2}}{2}, \frac{y_{2} + y_{1}}{2})$

Step 3. Apply the midpoint formula.

The coordinates (x, y) of the midpoint M are

$x = \frac{x_{1} + x_{2}}{2} = \frac{- 4 + 2}{2} = - 1 and y = \frac{y_{1} + y_{2}}{2} = \frac{- 3 + 2}{2} = - \frac{1}{2}$

So, Midpoint $M = (x, y) = (- 1, - \frac{1}{2})$

Step 4. Conclusion.

The midpoint of the line segment is $(- 1, - \frac{1}{2})$ .

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 line segment joining the points P₁ and P₂ .
$P_{1} = (- 4, - 3); P_{2} = (2, 2)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Midpoint Formula.

Step 3. Apply the midpoint formula.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Statistics

Pure Maths

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the midpoint of the line segment joining the points P1 and P2 .P1=(-4,-3);P2=(2,2)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Midpoint Formula.

Step 3. Apply the midpoint formula.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Statistics

Pure Maths

Geometry

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the midpoint of the line segment joining the points P₁ and P₂ .
$P_{1} = (- 4, - 3); P_{2} = (2, 2)$