Intermediate Algebra Q9 (with music) | Los Angeles Pierce College math assessment sample

TL;DR

Learn how to calculate the distance between two points using the distance formula.

Transcript

for number nine we are going to find a distance between these two points 4 comma negative 2 and negative 2 comma negative 3 this is how we are going to do it this is our first point let's label this s x1 comma y1 and then the second point will have x2 comma y2 and this is the formula that we need right here the formula says the distance between two... Read More

Key Insights

• 😥 The distance formula is an essential tool for calculating the distance between two points.
• 😥 Remember to label the points as (x1, y1) and (x2, y2) to plug them correctly into the formula.
• 🪈 Following the order of operations is crucial to ensure accurate calculations.
• ❎ The square root of a negative number is not a real number, so make sure to check for any potential errors.
• 😥 The distance between two points is always positive or zero.
• 😥 The distance formula can be applied to any two points on a graph.
• 👾 The formula works for both two-dimensional and three-dimensional space.

Questions & Answers

Q: How do you find the distance between two points?

To find the distance between two points, you can use the distance formula, which calculates the square root of the difference in x-values squared added to the difference in y-values squared.

Q: What are the coordinates for the two points used in the example?

The coordinates for the two points in the example are (4, -2) and (-2, -3).

Q: How do you calculate (x1 - x2)^2?

To calculate (x1 - x2)^2, subtract the x-value of the second point from the x-value of the first point, and then square the result.

Q: What is the final answer in the example?

The final answer in the example is the square root of 37, which cannot be simplified further.

Summary & Key Takeaways

• The video explains how to find the distance between two points using the distance formula.

• The formula states that the distance is equal to the square root of (x1 - x2)^2 + (y1 - y2)^2.

• The video provides step-by-step instructions on how to plug in the coordinates and perform the calculations.