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A and B are two points on the x-axis and y-axis respectively. P (2, – 3) is the mid point of AB. Find the (i) the co-ordinates of A and B. (ii) the slope of the line AB.
A and B are two points on the x-axis and y-axis respectively. P (2, – 3) is the mid point of AB. Find the (i) the co-ordinates of A and B. (ii) the slope of the line AB.
CBSE | Class 10 | Equation of a Straight Line | Exercise 1 | maths | ML Aggarwal
A and B are two points on the x-axis and y-axis respectively. P (2, – 3) is the mid point of AB. Find the (i) the co-ordinates of A and B. (ii) the slope of the line AB.

Given, points A and B are on x-axis and y-axis respectively

Let co-ordinates of A be (x, 0) and of B be (0, y)

And P (2, -3) is the midpoint of AB

So, we have

2 = (x + 0)/2 and -3 = (0 + y)/2

x = 4 and y = -6

(i) Hence, the co-ordinates of A are (4, 0) and of B are (0, -6).

(ii) Slope of AB = y2 – y1/ x2 – x1

= (-6 – 0)/ (0 – 4)

= -6/-4 = 3/2 = m

i

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