Question

The midpoint of the line segment AB is (4,0). If the co-ordinates of point A is (3,–2), then find the co-ordinates of point B.

Answer 1

SOLUTION IS IN THE ATTACHMENT

Coordinate geometry is the branch of mathematics which deals with the position of an object lying in a plane.

Each  point in cartesian plane has two coordinates X coordinate and Y coordinate.
The X co-ordinate is called the abscissa.
The Y co-ordinate is called the ordinate.

Coordinates X and Y taken together are called coordinates of a point. (x,y) is called an ordered pair.

MIDPOINT FORMULA:
Coordinates of the midpoint P of the line segment joining the points A(x1,y1) and B(x2,y2) is [ (x1+x2) / 2 , (y1+y2)/2]

HOPE THIS WILL HELP YOU...

Answer 2

hello friend ☺
here is your answer

firstly the formula of mid point is (X1+X2)/2
ab is mid point
hence
4=(3+X2)/2

8=3+X2

X2=5

again using mid point formula

0=-2+Y2

hence Y2 =2

the coordinates of B are (5,2)

I hope it helps you ☺
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