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Find the coordinates that splits XY into 1:1 ratio, where X has the coordinates (5,12) and Y has the coordinates(-1,3)

User Harrane
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1 Answer

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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).

User Mossab
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