/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 24 Find the midpoint of each line s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 24

Find the midpoint of each line segment with the given endpoints. $$(-2,-1) \text { and }(-8,6)$$

Short Answer

Expert verified
The midpoint of the line segment with endpoints (-2, -1) and (-8, 6) is (-5, 2.5).

Step by step solution

01

Identify the Coordiantes

Identify the given coordinates. Here, we have \((x_1, y_1) = (-2, -1)\) and \((x_2, y_2) = (-8, 6)\).
02

Substitute into Midpoint Formula

Next, substitute these coordinates into the midpoint formula: \(M = \left(\frac{x1+x2}{2}, \frac{y1+y2}{2}\right)\), giving \(M = \left(\frac{-2 + -8}{2}, \frac{-1 + 6}{2}\right)\).
03

Compute the Midpoint

Compute the midpoint by adding and then dividing by two for each component (x and y). This gives \(M = \left(\frac{-10}{2}, \frac{5}{2}\right)\),thus the midpoint M is \(-5, 2.5\).

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Assume that \((a, b)\) is a point on the graph of \(f .\) What is the corresponding point on the graph of each of the following functions? $$ y=f(x-3) $$

Begin by graphing the square root function, \(f(x)=\sqrt{x} .\) Then use transformations of this graph to graph the given function. $$ g(x)=\sqrt{x+1} $$

Begin by graphing the square root function, \(f(x)=\sqrt{x} .\) Then use transformations of this graph to graph the given function. $$ h(x)=\sqrt{x+1}-1 $$

Begin by graphing the absolute value function, \(f(x)=|x| .\) Then use transformations of this graph to graph the given function. $$ h(x)=|x+3|-2 $$

Consider the relation for which the domain represents the ten longest-running series and the range represents the number of seasons the series ran. Is this relation a function? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.