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

Short Note

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

#### Solution

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

In general to find the mid-point P( x, y)  of two pointsA(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,

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

Now equate the y component to get,

(y + 5)/2 = 6

So,

y = 7

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 25 | Page 62