# What can the distance formula be used for?

**distance formula**is

**used**to find the

**distance**between two points in the plane.

Consequently, what is the distance formula between two points?

**Distance formula**. Learn how to find the **distance between two points** by using the **distance formula**, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the **distance between** any **two points**.

Subsequently, question is, what is distance formula in math? **Distance Formula in Math** Mathematically, if you want to determine the **distance** between two points on a coordinate plane, you use the **distance formula**. d = √(x2 - x1)^2 + (y2 - y1)^2. When you know the coordinates of the two points that you're trying to find the **distance** between, just substitute them into the **equation**.

Also question is, what does the distance formula prove?

**Proof** of the **Distance Formula**. To derive the **distance** between two points, A and B, we imagine a third point C that forms a right triangle and then use the Pythagorean Theorem. Scrub the values of A and B coordinates to see how they connect to terms in the final **distance formula**.

How do you solve for distance?

To **solve for distance** use the formula for **distance** d = st, or **distance** equals speed times time. Rate and speed are similar since they both represent some **distance** per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t.