Question

Find the midpoint of the segment with the following endpoints. ( 10 , 7 ) and ( 2 , 1 )

Answer 1

Finding the midpoint of a line segment is easy.

In a two-dimensional Cartesian plane with known endpoints, the abscissa value of the midpoint is half the sum of the abscissa values of the endpoints, and the ordinate value is half the sum of the ordinate values of the endpoints.

Based on this information, we can comfortably say that the midpoint of this line segment is as follows;

Let the midpoint of this segment is
`M(x_(1),y_(1))`.

• 
  `x_(1)=(10+2)/2=6`
• 
  `y_(1)=(7+1)/2=4`

Hence, the midpoint of this segment is
`(6,4)`.