A line segment is bisected by a line with the equation # 4 y - 6 x = 8 #. If one end of the line segment is at #( 8 , 3 )#, where is the other end?
Decimal value (-2.16 9.77)
Bisectors are perpendicular - they bisect the line at a right angle. This means that the gradient of the line segment is the reciprocal of the other line:
So our line segment has a point at
Now to find the other endpoint:
The lines intersect where one equation = the other
Distance between point given