Question

Find the distance between each pair of points in the coordinate plane.

1. (0, 0) and (0, 3)
2. (0, 0) and (4, 0)
3. (0, 0) and (4, 3)
4. (0, 0) and (8, 6)

Answer 1

1) 3 units

2)4 units

3) 5 units

4)10 units

Explanation:

We can use the Distance Formula to find the distance between the two points given to us. The Distance Formula is for points (x1 , y1) & (x2 , y2) is

★ Distance = √[ (x2 - x1)² + (y2 - y1)²]

1) (0,0) & (0,3)

⇒ Distance = √ [ (3-0)²+(0-0)² ]

⇒ Distance = √ [ 3² ]

⇒ Distance = 3 units .

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2) (0,0) & (4,0)

⇒ Distance = √ [ (4-0)²+(0-0)² ]

⇒ Distance = √ [ 4² ]

⇒ Distance = 4 units .

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3) (0,0) & (4,3)

⇒ Distance = √ [ (3-0)²+(4-0)² ]

⇒ Distance = √ [ 3²+ 4² ]

⇒ Distance = √ 9 + 16

⇒ Distance = √25

⇒ Distance = 5 units .

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4) (0,0) & (8,6)

⇒ Distance = √ [ (8-0)²+(6-0)² ]

⇒ Distance = √ [ 8²+ 6² ]

⇒ Distance = √ 64 + 36

⇒ Distance = √100

⇒ Distance = 10 units .