Question

If the midpoints of the line segment joining the points P( a,b – 2) and Q( -2,4) is R(2,- 3) ,then the value of a and b are​

Answer 1

Step-by-step explanation:

since, R is the midpoint of PQ.

therefore, coordinates of R= (a-2/2 , b-2+4/2=)

or,(2,-3) = (a-2/2,b-2+4/2)

So, we can write:

a-2/2 =2

a=4+2

a=6

And,

b-2+4/2 = -3

b= -6+2

b= -8

answers:

a=6, b= -8