Question

A line segment has the endpoints x (-4,2) and y (2,11). which coordinates perpendicular to xy?

Answer 1

(–1, 6.5)

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 =
`\left((x_(1)+x_(2))/(2), (y_(1)+y_(2))/(2)\right)`

Here,
`x_(1)=-4, x_(2)=2, y_(1)=2, y_(2)=11`

Mid-point =
`\left((-4+2)/(2), (2+11)/(2)\right)`

=
`\left((-2)/(2), (13)/(2)\right)`

= (–1, 6.5)

Hence, the coordinates perpendicular to XY is (–1, 6.5).