Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

Question

viva [34]

3 years ago

15

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

1 4.5 0.5 4

Mathematics

1 answer:

Daniel [21] · Answer 1 · 2022-04-17T17:43:23+03:00

We have been given a segment AB and we are asked to find the x coordinate of the midpoint of AB.
A - x = 4
B - x = -2
the distance from A to B is;
2 units to the right from -2 to 0
4 units to the right from 0 to 4
The total distance is 2 units + 4 units = 6 units
The midpoint is 6/2 = 3 units from both A and B points.
3 points from -2 to the right is -2+3 = +1
3 points from 4 to the left side 4-3 = +1
Therefore x value for midpoint is x = 1