Question

Hey please help with this question asap: A map of the town that Annie and Barbara live in can be represented by the Cartesian plane. Annie is located at (5,-11) and Barbara says she is located at (-7,13). They agree to meet at the midpoint of the segment formed by their current locations. However, it turns out that Barbara read the map wrong, and she is actually at (-5,5). What is the positive difference in the y-coordinates of where they agreed to meet and where they should actually meet?

thank you so much!

Answer 1

Original locations:
Annie: (5, -11)
Barbara: (-7, 13)

Note that the midpoint between two points (x₁, y₁) and (x₂, y₂) is
[(x₁+x₂)/2, (y₁+y₂)/2]

Therefore the meeting place has coordinates
[(5-7)/2, (-11+13)/2] = (-1, 1)

Barbara ends up at (-5, 5).
The positive difference in the y-coordinates between (-1, 1) and (-5, 5) is
5 - 1 = 4

Answer: 4