How to Find the Distance Between Two Points - The distance formula made easy!

TL;DR

Learn how to calculate the distance between two points on a linear equation using Pythagoras's Theorem.

Transcript

good day welcome to the tech math Channel what we're going to be having a look at in this video is how to work out the distance between two points on a linear equation a really simple thing how to do in this video also what we'll do is explain why this works just so you truly understand what you're doing and I'll tell you it'll make life really eas... Read More

Key Insights

• 😥 Calculating the distance between two points on a linear equation involves finding the rise (vertical distance) and run (horizontal distance) between the points.
• ❎ Pythagoras's Theorem can be used to find the distance by squaring the rise and run, adding them together, and taking the square root of the sum.
• ❓ This method is applicable in various practical scenarios, including navigation and engineering.
• 🫥 The distance between two points on a linear equation can be used to determine the length of a line segment.
• ❓ Understanding the principles behind calculating distance can make it easier to solve related mathematical problems.
• 😮 The formula used for finding the distance is applicable to both positive and negative values of rise and run.
• 😥 Calculating distances between points is a fundamental concept in geometry and analytic geometry.

Questions & Answers

Q: What are the two main components needed to calculate the distance between two points on a linear equation?

The two main components needed are the rise (vertical distance) and the run (horizontal distance) between the two points.

Q: How does Pythagoras's Theorem apply to calculating the distance between two points?

Pythagoras's Theorem can be applied by squaring the rise and run, adding them together, and then taking the square root of the sum to determine the distance between the two points.

Q: Can you provide an example calculation of the distance between two points on a linear equation?

Sure, for example, if the rise is 3 and the run is 7, you would square 3 (9) and square 7 (49), add them together (58), and then take the square root of 58 (approximately 7.7).

Q: How can the distance between two points on a linear equation be helpful in practical situations?

Calculating the distance between two points on a linear equation can be useful in various fields, such as engineering, physics, and navigation, where determining distances and coordinates is important.

Summary & Key Takeaways

• This video explains how to calculate the distance between two points on a linear equation by finding the rise and run.

• The rise represents the vertical distance, while the run represents the horizontal distance between the two points.

• By applying Pythagoras's Theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides, the distance between the two points can be determined.