Distance Formula
d = √[( x₂ – x₁)² + (y₂ – y₁)²]
The distance formula is a mathematical equation used to calculate the distance between two points in a coordinate plane. The formula can be expressed as:
d = √[(x2 – x1)² + (y2 – y1)²]
where d is the distance between the two points, (x1, y1) and (x2, y2).
To use this formula, you first need to identify the coordinates of both points. Then, plug these coordinates into the formula with (x1, y1) representing the coordinates of the first point and (x2, y2) representing the coordinates of the second point.
For example, if you want to find the distance between points (2,4) and (8,6), you would plug in the values as follows:
d = √[(8 – 2)² + (6 – 4)²]
d = √[(6)² + (2)²]
d = √[40]
d = 6.32 (rounded to two decimal places)
Therefore, the distance between points (2,4) and (8,6) is 6.32 units.
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