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Question

Jack started from the home (1, 1) and moved 8 units on the x-axis and 6 units on the y-axis to reach his office. Find the distance between home and office.
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Solution

Let the coordinates of home be "H" and the coordinates of office be "O"
Jack started from the home H(1, 1).

Given Data:
  • Jack has moved 8 units in the x-axis direction to reach office ∴ x-coordinates of O = 1 + 8 = 9
  • Jack has moved 6 units in the y-axis direction to reach office ∴ y-coordinates of O = 1 + 6 =7
So, the coordinates of O are (9, 7).

We know that, the distance between the points (x1,y1) and (x2,y2)
=(x2x1)2+(y2y1)2

The distance between H(1, 1) and O(9, 7)
=(91)2+(71)2
=82+62
=64+36
=100
=10

Hence, the distance between home and office is 10 units.

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