A line segment is bisected by a line with the equation # - 3 y + 4 x = 6 #. If one end of the line segment is at #( 3 , 1 )#, where is the other end?
1 Answer
Jun 21, 2017
The other end is
Explanation:
Let the other end be
Then the mid-point of the line is
The slope of the line
is
The slope of the line perpendicular is
The equation of the line is
Solving for
The mid-point is
So,
The other end is