Question

If P (2, 6) is the mid-point of the line segment joining A(6, 5) and B(4, y), find y. 

Answer 1

It is given that mid-point of line segment joining A(6, 5) and B(4, y) is P(2, 6)

In general to find the mid-point P (x , y)  of two points`A(x_1 , y_1)` and `B ( x_2 , y_2 )`  we use section formula as,

`P ( x ,  y) = (( x_1 + x_2) / 2 , ( y_1 + y_ 2) / 2)`

So,

`(2 , 6) = ((6 + 4)/2,(5 + y)/2)`

Now equate the y component to get,

`(5 + y) /2 = 6`

So,

 y = 7