No point (15,1) does not lie on the perpendicular bisectors of the line G(-2,-3) and H (8,17).
The perpendicular bisector on a line segment is the line which divides the line in two equal parts and intersects the line at 90 degrees.
Here the midpoint of the two points will be calculated as:-
[tex]P=(\dfrac{-2-8}{2},\dfrac{-3-17}{2})=(\dfrac{10}{2},\dfrac{-20}{2})=(5,-10)[/tex]
Hence the mid point of the two points are (5,10) so the point (15,1) is not lying on its perpendicular bisector
Learn more about the perpendicular bisector on a line here:
brainly.com/question/11006922
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