A line segment is bisected by a line with the equation # -7 y + 3 x = 1 #. If one end of the line segment is at #( 2 , 4 )#, where is the other end?
Please read the explanation.
(a) A line segment is bisected by a line.
(b) Equation of the line :
If one end of the line segment is at
Plot the point
Graph the line
Construct a perpendicular line through the point
This is the shortest distance between the line and the point
Mark the point of intersection of the perpendicular line and the line with the equation
This is the Mid-Point(O) of the required line segment we must find, in order to locate the coordinates of the other end of the line segment.
Measure the magnitude of
Using the Mid-Point (O) as the center, construct a circle with radius being the magnitude of the part of the line segment
Extrend the line segment
Mark the intersection of the circle and this part of the extended line.
This is our Point
Find the coordinates of the point
Hope you find this solution process useful to your requirement.