Final answer:
The coordinates that split the segment XY with endpoints (5,12) and (-1,3) into a 1:1 ratio are (2, 7.5), found using the midpoint formula.
Step-by-step explanation:
To find the coordinates that split the line segment XY into a 1:1 ratio, where X has coordinates (5,12) and Y has coordinates (-1,3), we can use the midpoint formula. Since this is a 1:1 ratio, the point we are looking for is the midpoint of the segment XY. The midpoint formula is given by ((x1 + x2)/2, (y1 + y2)/2), where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the segment.
Applying the midpoint formula in this case:
- x-coordinate of midpoint = (5 + (-1))/2 = 4/2 = 2
- y-coordinate of midpoint = (12 + 3)/2 = 15/2 = 7.5
Therefore, the coordinates of the point that splits the segment XY into a 1:1 ratio are (2, 7.5).