# Find The Distance Between Two Points Worksheet

## 6 problems

Finding the distance between two points is a fundamental concept in geometry and algebra. The distance between two points (x_1, y_1) and (x_2, y_2) can be calculated using the distance formula:

\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

This formula involves subtracting the x-coordinates and y-coordinates of the two points, squaring the results, adding them together, and then taking the square root of the sum.

Algebra 1
Coordinate Plane

## How Will This Worksheet on "Find the Distance Between Two Points" Benefit Your Students' Learning?

• Reinforces the application of the distance formula.
• Shows practical applications of distance calculation.
• Develops problem-solving skills through various exercises.
• Enhances spatial reasoning abilities.
• Prepares students for advanced geometry and real-world scenarios.

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## Solved Example

Q. Find the distance between the points $(-9,-6)$ and $(-3,2)$.$\newline$Round decimals to the nearest tenth.$\newline$$\_\_\_$ units
Solution:
1. Calculate Differences: Calculate the differences in the $x$-coordinates and $y$-coordinates of the points.$x_2 - x_1 = -3 - (-9) = 6$$y_2 - y_1 = 2 - (-6) = 8$
2. Use Distance Formula: Use the distance formula: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$. $\text{distance} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100}$
3. Calculate Square Root: Calculate the square root of $100$.$\sqrt{100} = 10.0$

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