Question

coordinate of point p on a number line is -7. find the coordinates of points on the number line which are at a distance of 8 units from point p

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Answer 1

Answer:

Let point Q be at a distance of 8 units from P and on left side of P Let point R be at a distance of 8 units from P and on right side of P. i. Let the co-ordinate of point Q be x. Co-ordinate of point P is -7. Since, point Q is to the left of point P. ∴ -7 > x ∴ d(P, Q) = -7 - x ∴ 8 = -7 – x ∴ x = – 7 – 8 ∴ x = -15 ii. Let the co-ordinate of point R be y. Co-ordinate of point P is -7. Since, point R is to the right of point P. ∴ y > -7 ∴ d(P, R) = 7- (-7) ∴ 8 = y + 7 ∴ 8 – 7 = 7 ∴ y = 1 ∴ The co-ordinates of the points at a distance of 8 units from P are -15 and 1.