A line segment is bisected by a line with the equation # 3 y - 7 x = 3 #. If one end of the line segment is at #(7 ,8 )#, where is the other end?
1 Answer
The other point is at
Explanation:
Write the equation of the given line in standard form:
The gradient is
We will have to assume that this line is the perpendicular bisector rather than just a bisector, else the question cannot be answered.
The line segment has a gradient of
and passes through the point
Find its equation using:
The midpoint of the line segment is where the lines intersect. Solve them simultaneously by equating the y's.
This point is the midpoint of the line segment.
The other point is at