Question

The coordinates of the mid-point of the line segment joining (x, 13) and (6, 7) is (4, 10). The value of x is:​

Answer 1

Answer:

            x = 2

Step-by-step explanation:

The midpoint of (a, b) and (c, d) is ( (a+c)/2, (b+d)/2 ).

So the midpoint of (x, 13) and (6, 7) is ( (x+6)/2, (13+7)/2 )  =  ( (x+6)/2, 10 ).

It is given that this is the point (4, 10).  So...

  (x+6)/2 = 4

⇒ x+6 = 8

⇒ x = 2