The distance between pair of points given are 5.4 units, 2.8 units, 13.2 units, 7.1 units respectively.
What is the distance between two points on a coordinate plane?
The distance between two points (x₁, y₁) and (x₂, y₂) on a coordinate plane is:
= √[(x₂ - x₁)² + (y₂ - y₁)²]
1. The distance between points (3, - 1) and (5, 4) is
= √[(5 - 3)² + {4 - (- 1)²}] units
= √[2² + 5²}] units
= √(29) units
= 5.4 units
2. The distance between points (2, 3) and (4, 5) is
= √[(4 - 2)² + (5 - 3)²] units
= √[2² + 2²}] units
= √(8) units
= 2.8 units
3. The distance between points (- 5, 7) and (8, 5) is
= √[{(8 - (- 5)}² + (5 - 7)²}] units
= √[13² + (- 2)²}] units
= √(173) units
= 13.2 units
4. The distance between points (-2, 4) and (3, - 1) is
= √[{3 - (- 2)}² + (- 1 - 4)²}] units
= √[5² + (- 5)²}] units
= √(50) units
= 7.1 units
Learn more about the distance between two points here: https://brainly.com/question/16410393
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