if p(x,y) is the midpoint of the line segment joining the points A(1,3) and (-2,6) then x+y is Question if p(x,y) is the midpoint of the line segment joining the points A(1,3) and (-2,6) then x+y is in progress 0 Math Ximena 3 weeks 2021-11-06T23:27:55+00:00 2021-11-06T23:27:55+00:00 2 Answers 0 views 0

## Answers ( )

Given :-

P(x, y) is the mid point of the line segment joining the points A(1,3) and (-2,6).

To Find:

The value of x + y

First we have to find the mid point of the line segment.

Let the mid point be “M”.

We know that,

From the above points,

Now,

Answer:p(x,y) = [(x1+X2)/2, (y1+y2)/2]

= [{ 1+(-2)}/2, (3+6)/2 ]

= (-1/2, 9/2)

therefore x = -1/2 and y = 9/2

x + y = -1/2 + 9/2

= (-1 + 9)/2

= 8/2

= 4