Question

if p(5, 6) is the midpoint of line segment AB joining A(6, 5) and B(4, Y) then find the value of Y.

Answer 1

Step-by-step explanation:

Handwriting khrabab hai sorryyyyyy!

Answer 2

Given:

The midpoint of AB=p(5, 6)

Coordinates of A and B=A(6, 5) and B(4, Y)

To find:

The value of Y

Solution:

The value of Y is 7.

We can find the value of Y by following the given steps-

We know that the coordinates of the midpoint of a line segment can be obtained by taking the average of the x-coordinates and the y-coordinates of the line segment.

So, the x-coordinate of the midpoint of AB=(x-coordinate of A+x-coordinate of B)/2

Similarly, the y-coordinate of the midpoint of AB=(y-coordinate of A+y-coordinate of B)/2

The coordinates of A=(6,5)

The coordinates of B=(4, Y)

The coordinates of the midpoint p=(5,6)

On using the values, we get

6=(5+Y)/2

6×2=(5+Y)

12=5+Y

Y=12-5

Y=7

Therefore, the value of Y is 7.