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7th Grade Math

There are six sets of coordinate geometry worksheets:

- Midpoint Formula
- Distance Formula
- Slope Formula
- Standard Form & Slope-Intercept Form
- Parallel Lines
- Perpendicular Lines

Examples, solutions, videos, and worksheets to help grade 7 students learn how to use the distance formula to find the distance between two points on the coordinate plane.

There are two sets of Distance Formula worksheets:

- Coordinates in integers
- Coordinates include decimals

The distance formula is a mathematical formula used to find the distance between two points in a two-dimensional Cartesian coordinate system (x, y). It’s a direct application of the Pythagorean Theorem and is widely used in geometry and trigonometry.

The distance formula allows you to calculate the distance (d) between two points, usually denoted as (x_{1}, y_{1}) and (x_{2}, y_{2}), and is expressed as:

d = √((x_{2} - x_{1})² + (y_{2} - y_{1})²)

In this formula:

- (x
_{1}, y_{1}) are the coordinates of the first point. - (x
_{2}, y_{2}) are the coordinates of the second point. - √ represents the square root operation.

To use the distance formula, follow these steps:

- Identify the coordinates of the two points, which are typically given as (x
_{1}, y_{1}) and (x_{2}, y_{2}). - Plug these coordinates into the formula:

d = √((x_{2}- x_{1})² + (y_{2}- y_{1})²) - Calculate the differences between the x-coordinates (x
_{2}- x_{1}) and the y-coordinates (y_{2}- y_{1}), square each difference, sum the squared differences, and then take the square root of the sum to find the distance (d).

For example, if you have two points A(3, 4) and B(6, 8), you can use the distance formula to find the distance between them:

d = √((6 - 3)² + (8 - 4)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

So, the distance between points A and B is 5 units.

Have a look at this video if you need to review how to use the distance formula.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Distance Formula Worksheets**.

**Printable**

(Answers on the second page.)

Distance Formula Worksheet #1 (coordinates in integers)

Distance Formula Worksheet #2 (coordinates include decimals)

**Online**

Quadrants of Coordinates

Slope of a Line

Slope and Intercept of a Line

Midpoint Formula 1

Midpoint Formula 2

Distance Formula 1

Distance Formula 2

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