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Question
Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?
Solution
The coordinate of point A is 1.
Suppose point B is located at a distance of 7 units to the left of point A, whose coordinate is x.
1 > x d(A, B) = 7
∴ 7 = 1 – x
∴ x = 1 – 7
∴ x = - 6
The coordinate of point B is – 6.
Suppose point C is located at a distance of 7 units to the right of point A, whose coordinate is y.
y > 1 d(A, C) = 7
∴ 7 = y – 1
∴ y = 7 + 1
∴ y = 8
The coordinate of point C is 8.
The coordinates of points situated at a distance of 7 units from point A are - 6 and 8.
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