Question

Use the following definition to find the midpoints between the given points on a straight line. The midpoint between points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ on a straight line is the point. $$\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$$ $$(-12.4,25.7) \text { and }(6.8,-17.3)$$

Name: Problem 51, Chapter 21: Basic Technical Mathematics with Calculus
Uploaded: 2021-06-03T11:37:27-08:00
Duration: 43 s
Channel: Wendi Zhao
Description: Use the following definition to find the midpoints between the given points on a straight line. The midpoint between points (x1, y1) and (x2, y2) on a straight line is the point. ((x1+x2)/(2), (y1+y2)/(2)) (-12.4,25.7) and (6.8,-17.3)

   Use the following definition to find the midpoints between the given points on a straight line. The midpoint between points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ on a straight line is the point. $$\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$$
$$(-12.4,25.7) \text { and }(6.8,-17.3)$$

Basic Technical Mathematics with Calculus

Allyn J. Washington,… 11th Edition

Chapter 21, Problem 51

Instant Answer

Solved by Expert Wendi Zhao

06/03/2021

Step 1

According to the formula, we add the x-coordinates of the two points and divide by 2. So, we have: $$x_{m}=\frac{x_{1}+x_{2}}{2}=\frac{-12.4+6.8}{2}$$ Show more…

Show all steps

Thanks for your feedback!

Use the following definition to find the midpoints between the given points on a straight line. The midpoint between points $\left(x_{1}, y_{1}\right)$ and $\left(x_{2}, y_{2}\right)$ on a straight line is the point. $$\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$$ $$(-12.4,25.7) \text { and }(6.8,-17.3)$$

Play audio

Feedback

Wendi Zhao and 71 other subject Precalculus 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

Arithmetic Mean

The arithmetic mean, commonly known as the average, is the sum of a set of numbers divided by the count of those numbers. In the context of the midpoint formula, it is applied to the x- and y-coordinates of the endpoints to evenly split the interval between them.

Coordinate Geometry

Coordinate geometry is a branch of mathematics that uses a coordinate system to describe and analyze the geometric properties of figures. It allows for the representation of points, lines, and shapes using numbers and equations, providing a framework to apply algebraic methods to geometry.

Midpoint Formula

The midpoint formula is a key concept in coordinate geometry used to determine the point that lies exactly halfway between two endpoints of a line segment. It is calculated by taking the average of the x-coordinates and the average of the y-coordinates of the given points, resulting in the coordinates ( (x1 + x2)/2, (y1 + y2)/2 ).

Please give Ace some feedback