Question

If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.

Answer 1

It is given that mid-point of line segment joining A (6,−5) and B (−2, 11) is  P (2P) 

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, p) = ((6-2)/2 , (-5+11)/2)`

Now equate the y component to get,

 p = 3