Question

Find the co-ordinates of the midpoint of the line segment joining
points (4,7) and (2,–3).

Answer 1

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]

SOLUTION:

GIVEN:
Here, x1 = 4, y1 = 7 , x2 = 2 , y2= -3
Coordinates of midpoint = [ (x1+x2) / 2 , (y1+y2)/2]
= [(4+2)/2 , (7+(-3)/2]
= 6/2 , 4/2
= 3,2

Coordinates of mid point = (3,2)

Hence, the  co-ordinates  of the midpoint  of the line segment  joining points are (3,2).

HOPE THIS WILL HELP YOU...

Answer 2

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