The document discusses the midpoint formula. It provides the formula for finding the midpoint between two points (x1, y1) and (x2, y2), which is to take the average of the x-coordinates and the average of the y-coordinates. An example is worked through to demonstrate finding the midpoint between points (2,3) and (5,7), which is (3.5,5). Another example finds the midpoint between points (3,15) and (12,9), which is (7.5,12). The document emphasizes that the midpoint formula provides a simpler way to find the point equidistant from two given points compared to using the distance formula.

1. Midpoint
Formula

2. Midpoint formula
Finding the distances between any 2 points is a very critical topic in geometry!
The formula, as you may recall, is the following:
( x₂ - x₁ )² + (y₂ - y₁)²

3. The two points that we are trying to find the distance of are (x1, y1) and (x2, y2) and the formula
utilizes the Pythagorean theorem to find the shortest distance between those two points. But
what if we wanted to find the midpoint of those two points?
There is a much simpler formula for this, and it is called the midpoint formula
Midpoint X val
x₁ + x₂
2
y₁ + y₂
2
Midpoint y val

4. Example A
If you are given two points, you need to find the middle value for the x coordinate, the middle
value for the y coordinate, and then combine them to get the midpoint coordinate pair. Let’s
work through an example:
Let’s say you had the two points (2, 3) and (5, 7). What would the midpoint be?
Let’s start out with the x value:
● Add the 2 x values → 2+5=7. Then you divide 7/2 to get 3.5. This is the x value

5. Example A
Let’s do the y value midpoint next
● When we add up 3+7=10. When we
divide 10/2, we get 5.
● Combine the x and y values to get
(3.5, 5). Let’s plot all 3 points on a
graph to check that (3.5, 5) is indeed
the midpoint
● It is! The distances are the same
from the midpoint to the 2 points we
started with

6. Example B
Let’s say you had the two points (3, 15) and (12, 9). What would the midpoint be?
Let’s start out with the x value
● Add the 2 x values → 3+12=15. Then divide 15/2 to get 7.5. That’s the x value
Let’s do the y value midpoint next
● 15+9=24. When divide 24/2, we get 12, which is the midpoint y value.
● (7.5, 12) is our midpoint coordinate, at an equal distance from both points

7. CREDITS: This presentation template was created by
Slidesgo, and includes icons by Flaticon and infographics &
images by Freepik and content by Swetha Tandri
Thanks!
Do you have any questions?
youremail@freepik.com
+91 620 421 838
yourwebsite.com
Please keep this slide for attribution

8. Alternative resources
Here’s an assortment of alternative resources whose style fits the one of this template:
● Flat geometric background

9. Resources
Did you like the resources in this template? Get them for free at our other websites:
Photos
● Abstract metal background close-up
Vectors
● Abstract background with geometric style

10. Instructions for use
If you have a free account, in order to use this template, you must credit Slidesgo by keeping the Thanks slide. Please
refer to the next slide to read the instructions for premium users.
As a Free user, you are allowed to:
● Modify this template.
● Use it for both personal and commercial projects.
You are not allowed to:
● Sublicense, sell or rent any of Slidesgo Content (or a modified version of Slidesgo Content).
● Distribute Slidesgo Content unless it has been expressly authorized by Slidesgo.
● Include Slidesgo Content in an online or offline database or file.
● Offer Slidesgo templates (or modified versions of Slidesgo templates) for download.
● Acquire the copyright of Slidesgo Content.
For more information about editing slides, please read our FAQs or visit our blog:
https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school

11. As a Premium user, you can use this template without attributing Slidesgo or keeping the "Thanks" slide.
You are allowed to:
● Modify this template.
● Use it for both personal and commercial purposes.
● Hide or delete the “Thanks” slide and the mention to Slidesgo in the credits.
● Share this template in an editable format with people who are not part of your team.
You are not allowed to:
● Sublicense, sell or rent this Slidesgo Template (or a modified version of this Slidesgo Template).
● Distribute this Slidesgo Template (or a modified version of this Slidesgo Template) or include it in a database or in
any other product or service that offers downloadable images, icons or presentations that may be subject to
distribution or resale.
● Use any of the elements that are part of this Slidesgo Template in an isolated and separated way from this
Template.
● Register any of the elements that are part of this template as a trademark or logo, or register it as a work in an
intellectual property registry or similar.
For more information about editing slides, please read our FAQs or visit our blog:
https://slidesgo.com/faqs and https://slidesgo.com/slidesgo-school
Instructions for use (premium users)

12. This presentation has been made using the following fonts:
Shippori Antique B1
(https://fonts.google.com/specimen/Shippori+Antique+B1)
DM Sans
(https://fonts.google.com/specimen/DM+Sans)
#32376e #e65a5a #ec7b54 #eea14d
#f2c352 #8fc9c4 #cbe7e2 #ffffff
Fonts & colors used

13. Create your Story with our illustrated concepts. Choose the style you like the most, edit its colors, pick
the background and layers you want to show and bring them to life with the animator panel! It will
boost your presentation. Check out how it works.
Storyset
Pana Amico Bro Rafiki Cuate

14. You can easily resize these resources without losing quality. To change the color, just ungroup the resource and click
on the object you want to change. Then, click on the paint bucket and select the color you want. Group the resource again
when you’re done. You can also look for more infographics on Slidesgo.
Use our editable graphic resources...

17. JANUARY FEBRUARY MARCH APRIL MAY JUNE
PHASE 1
PHASE 2
Task 1
Task 2
Task 1
Task 2
JANUARY FEBRUARY MARCH APRIL
PHASE 1
Task 1
Task 2

20. You can resize these icons without losing quality.
You can change the stroke and fill color; just select the icon and click on the paint bucket/pen.
In Google Slides, you can also use Flaticon’s extension, allowing you to customize and add even more icons.
...and our sets of editable icons

21. Educational Icons Medical Icons

22. Business Icons Teamwork Icons

23. Help & Support Icons Avatar Icons

24. Creative Process Icons Performing Arts Icons

25. Nature Icons

26. SEO & Marketing Icons

27. Add the title here
Text 1 Text 2 Text 3
Text 4 Text 5 Text 6
2016 2017 2018 2019 2020
“Despite being red,
Mars is actually a
very cold place”
“Mercury is the
smallest planet in
the Solar System”
“Neptune is the
farthest planet from
the Sun”
“Saturn is a gas
giant and has
several rings”
“Venus is the
second planet from
the Sun and is
terribly hot”
Premium infographics

28. “Despite being red,
Mars is actually a
very cold place”
“Jupiter is the
biggest planet in the
entire Solar System”
“Saturn is a gas
giant and has
several rings”
75%
Premium infographics
“Mercury is the
smallest planet in the
Solar System”
TITLE 1
75%

29. Digital Marketing
Premium Icons

30. Online Learning
Premium Icons

31. Laboratory
Premium Icons

32. Goals & Results
Premium Icons

33. Infographic Elements
Premium Icons