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 of two pointsand we use section formula as,

So,

Now equate the y component to get,

So,