A and B are two points. Point A has coordinates (–2, 4). Point B has coordinates (8, 9). C is the midpoint of the line segment AB. Find the coordinates of C

Think about the x-coordinate and the y-coordinate separately. Starting with the x-coordinate:

  1. Find the difference between the two x-coordinates -2 and 8, which is 10.
  2. to find the mid-point, we need to half the difference, that gives us 5.
  3. and finally add it to our smaller x-coordinate value -2, giving us 3, which is the x-coordinate for C.//

Do the same with the y-coordinates:

  1. difference between 4 and 9 is 5. 2 half it gives 2.5.
  2. add it to the smaller y-coordinate value 4, giving us 6.5 which is the y-coordinate for C.//

Hence C has coordinates (3, 6.5)

Answered by Gwen F. Maths tutor

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