Question

find the mid point of the lune segment joining the points p(3,4) and q(5,-2)

Answer 1

by mid point theorem

co-ordinates of point are:-

=[3+5/2,4+(-2)]

=[8/2,4-2/2]

=[4,2/2]

=[4,1]

so codinates of mid point joining line segment points p and q are (4,1)

thank you

Answer 2

We have points P(3,4) and Q(5,-2).

Let M(x,y) is the midpoint of line segment PQ.

HERE,

x1 = 3 & y1 = 4

x2 = 5 & y2 = -2

Using midpoint theorem,

Coordinates of M =( x1 + x2) / 2 , (y1 + y2) / 2

= (3 + 5) / 2 , (4-2)/2

= 8/2 , 2/2

= 4 , 1

Hence, the coordinates of midpoint of PQ are M(4,1).