Distance Between Two Points Word Problems Worksheets

Distance between two points word problems can be challenging for students to solve. However, with practice and a clear understanding of the concepts involved, these problems can become much easier to tackle. In this article, we will explore distance between two points word problems and provide detailed examples to help you master this topic.

What are Distance Between Two Points Word Problems?

Distance between two points word problems involve finding the distance between two given points in a coordinate plane. These problems often require the use of the distance formula, which is the square root of the sum of the squares of the differences between the x-coordinates and y-coordinates of the two points.

How to Solve Distance Between Two Points Word Problems

To solve distance between two points word problems, follow these steps:

Identify the coordinates of the two given points.
Plug the coordinates into the distance formula: √((x2 – x1)^2 + (y2 – y1)^2).
Simplify the equation and calculate the distance.

Example Problem:

Find the distance between the points (3, 4) and (-2, 1).

Step 1: Identify the coordinates of the two given points.
Point 1: (3, 4)
Point 2: (-2, 1)

Step 2: Plug the coordinates into the distance formula: √((-2 – 3)^2 + (1 – 4)^2).

Step 3: Simplify the equation.
√((-2 – 3)^2 + (1 – 4)^2) = √((-5)^2 + (-3)^2) = √(25 + 9) = √34

Therefore, the distance between the points (3, 4) and (-2, 1) is √34.

Conclusion

Distance between two points word problems can be solved by applying the distance formula. By identifying the coordinates of the given points, plugging them into the formula, and simplifying the equation, you can find the distance between the points accurately. Practice solving various word problems to enhance your understanding and proficiency in this topic.