How To Find The Distance Between Two Points

TL;DR

Learn how to find the distance between two points using the distance formula and graphing methods.

Transcript

in this video we're going to talk about how to find the distance between two points so what we could use is something called the distance formula and here it is d is equal to the square root of x2 minus x1 squared plus y2 minus y1 squared now the first thing we need to do is identify the coordinates this is the x-coordinate and this is the y coordi... Read More

Key Insights

• 😥 The distance formula, d = √((x2-x1)^2 + (y2-y1)^2), is a useful tool for calculating the distance between two points.
• 👉 Graphing the points and using the Pythagorean theorem to find the hypotenuse of the formed right triangle provides an alternative method.
• 🤘 Canceling out consecutive negative signs simplifies the calculation process in the distance formula.

Questions & Answers

Q: What is the distance formula and how is it used to find the distance between two points?

The distance formula, d = √((x2-x1)^2 + (y2-y1)^2), is used to calculate the distance between two points. By identifying the coordinates of the points as x1, y1 and x2, y2, we can plug them into the formula and solve for the distance.

Q: How can graphing be used to find the distance between two points?

By graphing the points on a coordinate plane, we can form a right triangle connecting the two points. Using the Pythagorean theorem, with the lengths of the triangle's two legs as a and b, we can find the hypotenuse, which represents the distance between the two points.

Q: What is the significance of the negative signs in the distance formula example?

In the example, the negative signs occur when subtracting the x and y coordinates. However, when two negative signs are next to each other, they cancel out, resulting in a positive value. This simplifies the calculation process.

Q: How does practicing with examples help in understanding finding the distance between two points?

Practicing with examples allows for hands-on application of the distance formula and graphing methods. By working through different scenarios, learners can solidify their understanding of the concepts and become proficient in finding the distance between two points.

Summary & Key Takeaways

• The distance between two points can be found using the distance formula, which involves identifying the coordinates and plugging them into the formula.

• Another approach is to graph the points and use the Pythagorean theorem to find the hypotenuse of the right triangle formed.

• Practicing with examples helps reinforce the understanding of finding the distance between two points.