Distance Formula
Grade 8 Math Worksheets
The distance formula to find the distance between two points (x1, y1) and (x2, y2) is derived from the Pythagorean Theorem.
Let A and B be two points on the coordinate plane, with coordinates (x1, y1) and (x2, y2) respectively. See the figure below:
Then by Pythagorean Theorem, AB2 =
![Distance Formula distance formula](png/graph.png)
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![distance-1](https://www.etutorworld.com/wp-content/uploads/2018/12/distance-1.jpg)
Example: Find the distance between the points (8, -4) and (8, -7).
Let us assume (x1, y1) = (8, -4) and (x2, y2) = (8, -7)
Then distance between the given points =
= =
=
= 3 units
Example: What is the distance between the points (-6, -1) and (2, 5)?
Let us assume (x1, y1) = (-6, -1) and (x2, y2) = (2, 5)
Then distance between the given points =
= =
= =
=
= 10 units
Check Point
Find the distance between each pair of points.
- (-2, -2), (-5, -6)
- (-4, 0), (-7, 0)
- (-1, 6), (7, 0)
- (2, -3), (3, -5)
- (-8, 1), (7, 1)
Answer key
- 5 units
- 3 units
- 10 units
units
- 15 units
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