(–1, 6.5)
Step-by-step explanation:
Given XY is a line segment with coordinates (–4, 2) and y(2, 11) respectively.
To find the coordinates perpendicular to XY.
A Perpendicular bisector is a line segment which intersects the line segment at its midpoint.
Hence, using midpoint formula we can find perpendicular co-ordinates.
Mid-point = [tex]\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
Here, [tex]x_{1}=-4, x_{2}=2, y_{1}=2, y_{2}=11[/tex]
Mid-point = [tex]\left(\frac{-4+2}{2}, \frac{2+11}{2}\right)[/tex]
= [tex]\left(\frac{-2}{2}, \frac{13}{2}\right)[/tex]
= (–1, 6.5)
Hence, the coordinates perpendicular to XY is (–1, 6.5).
