The distance formula is a mathematical equation that calculates the distance between two points in a coordinate plane. It is derived from the Pythagorean Theorem and is given by:
Distance = √((x2 - x1)² + (y2 - y1)²)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
To calculate the distance between A(1, 1) and B(7, -7), we can substitute the coordinates into the distance formula:
Distance = √((7 - 1)² + (-7 - 1)²)
= √(6² + (-8)²)
= √(36 + 64)
= √100
= 10
Therefore, the distance between points A(1, 1) and B(7, -7) is 10 units.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Explain the distance formula. Then use it to calculate the distance between A(1, 1) and B(7,−7).
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