Question

What is the midpoint of the segment joining (2, 6) and (10, 12)?

Answer 1

Step-by-step explanation:

midpoint is 10+2/2 which is 6

y coordinate is 6+12/2 = 9

thus midpoint is (6,9)

easy question though

Answer 2

given points (2,6) and (10,12), find their mid point

Explanation:

1. let there be two points 'A' and 'B' with co- ordinates $A(x_1,y_1),\ B(x_2,y_2)$         respectively.
2. let the mid point of the segment joint 'A' and 'B' be denoted by 'm', then the co- ordinates of 'm' are given by,  $m(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$     ---(a)
3. given here are two points $(2,6),\ (10,12)$, hence referring points 1. we have,   $x_1=2,\ y_1=6,\ x_2=10,\ y_2=12$    
4. putting these value in (a) we get,    $m(\frac{2+10}{2} ,\frac{6+12}{2} )$    
5. hence, mid point of the segment joining $(2,6),\ (10,12)$  is $(6,9)$