Question

10. (a) A straight lin
straight line passes through the points P(-1, 4) and O (5,-2). It intersects the coordinate axes a
and B. M is the mid point of AB.
Tind: (i) the equation of the line PQ. (ii) the co-ordinates of A and B. (ii) the co-ordinates of M. ​

Answer 1

Answer:

Step-by-step explanation:

(i) Thus the equation of the line is : y – y1 = m (x – x1)

Or,     y – 4  = (– 1) [x – (– 1)]

Or,      y – 4 = – x – 1

Or, x + y – 3 = 0

(ii) Putting y = 0, co-ordinates of A are (3, 0) and putting x = 0, co-ordinates of B are (0, 3).

(iii) Co-ordinates of ‘M’, mid-point of AB = [(x1 + x2)/2, (y1 + y2)/2]

= [(3 + 0)/2, (0 + 3)/2]

= (3/2, 3/2)

plss mark as brainliest