Mastering The Distance Formula: How To Find The Distance Between Two Points In Math

distance formula

if you add or subtract both sides of the inequality

The distance formula is a mathematical formula that is used to find the distance between two points in a two- or three-dimensional coordinate system. The formula is based on the Pythagorean Theorem and is expressed as:

d = √((x₂ – x₁)² + (y₂ – y₁)²)

where d is the distance between the two points, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you need to identify the values of x₁, y₁, x₂, and y₂ for the two points. Once you have those values, you can substitute them into the formula and solve for d.

For example, if you wanted to find the distance between the points (3, 4) and (7, 9), you would substitute the values into the formula, as follows:

d = √((7 – 3)² + (9 – 4)²)
d = √(16 + 25)
d = √41

Therefore, the distance between the two points is approximately 6.40 units.

More Answers:

Solving Algebraic Inequalities: Techniques And Graphical Representations
Solving Algebraic Equations: Techniques For Linear And Nonlinear Expressions
Algebraic Expressions: Variables, Coefficients, And Mathematical Operations.

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