Calculating Distance Between Points

The video tutorial on the Tech Math Channel explains how to calculate the distance between two points on a linear equation using the Pythagorean theorem. It provides a detailed walkthrough of two examples, demonstrating the process of determining the rise and run between points, squaring these values, and then finding the square root to get the distance. The tutorial aims to simplify the concept and ensure understanding by explaining the reasoning behind the method.

What is the main focus of the video tutorial?

• Understanding the concept of slope

• Solving quadratic equations

• Finding the distance between two points on a linear equation

• Calculating the area of a triangle

What is the 'rise' in the context of finding the distance between two points?

• The total distance between two points

• The diagonal distance between two points

• The vertical distance between two points

• The horizontal distance between two points

How do you calculate the 'run' between two points?

• By measuring the horizontal distance

• By measuring the vertical distance

• By measuring the total distance

• By measuring the diagonal distance

Which theorem is used to calculate the distance between two points?

• Pythagoras's Theorem

• Newton's Theorem

• Einstein's Theory

• Archimedes' Principle

What is the formula for calculating the distance using Pythagoras's Theorem?

• a + b = c

• a^2 + b^2 = c^2

• a^2 + b^2 = c

• a^2 - b^2 = c^2

In the first example, what is the calculated distance between the points (-1, -2) and (2, 2)?

• 5

• 6

• 4

• 3

What is the rise in the first example?

• 2

• 3

• 4

• 5

In the second example, what is the rise between the points (-3, 1) and (4, 4)?

• 4

• 3

• 5

• 2

What is the run in the second example?

• 5

• 6

• 7

• 8

What is the approximate distance calculated in the second example?

• 8.2

• 7.0

• 7.7

• 6.5