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Distance formula review

Review the distance formula and how to apply it to solve problems.

What is the distance formula?

The formula gives the distance between two points (x1,y1) and (x2,y2) on the coordinate plane:
It is derived from the Pythagorean theorem.
Want to learn more about the distance formula? Check out this video.

What problems can I solve with the distance formula?

Given two points on the plane, you can find their distance. For example, let's find the distance between (1,2) and (9,8):
=(x2x1)2+(y2y1)2=(91)2+(82)2Plug in coordinates=82+62=100=10
Notice: we were careful to put the x-coordinates together and the y-coordinates together and not mix them up.

Check your understanding

Problem 1
What is the distance between (4,2) and (8,5)?
Choose 1 answer:

Want to try more problems like this? Check out this exercise.

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