The Distance Formula

Distance Formula Calculator Just Type your equations in and let this calculator do the rest!

The distance formula is derived from the Pythagorean theorem. To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the coordinates of these ordered pairs and apply the formula pictured below.

The distance formula is
$$ \sqrt{(x_2 -x_1)^2 + (y_2- y_1)^2} $$

Below is a diagram of the distance formula applied to a picture of a line segment

Video Tutorial on the Distance Formula

Distance Formula

is just the Pythagorean Theorem in Disguise

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Practice Problems

The Distance Formula Distance Formula picture and problem

What is the distance between the two points on the left?

Step 1

Plot and label 2 points on the line, anywhere on the line. Remember that the slope of a line never changes, so you can choose whatever 2 points you want.

Step 2

Now, let's find the distance. We're basically just using the Pythagorean theorem.

Calculate the distance between the points (1,2) and (4,6).