Question

find the value of a, for which point P (a/2,2) is the midpoint of the line segment joining the points Q (-5,4)and(-1,0)

Answer 1

Answer: a= -6

Step-by-step explanation:

use midpoint formula..

P(x,y) = {(x₁+x₂)/2  ,  (y₁+y₂)/2}

P(a/2  , 2) = {(-5+(-1)/2  , (4+0)/2}

P(a/2  , 2) =(-3,2)

a/2 = -3

a=2×-3

∴a=-6

Answer 2

Answer: -6

Step-by-step explanation:

Given that p is the mid point of Q(-5,4) and R(-1,0) ,

x coordinate of P = x coordinate of Q + x coordinate of R /2

a/2 = (-5) + (-1)/2

a= -6