A line segment is bisected by a line with the equation # 8 y + 5 x = 4 #. If one end of the line segment is at #( 1 , 3 )#, where is the other end?
Other end coordinates
Assumption: It’s a perpendicular bisector that intersects the line segment.
Slope of perpendicular bisector m1;
Slope of line segment
Equation of line segment :
Solving Eqns (1) & (2) to get the midpoint coordinates,
Midpoint coordinates (-0.4045,0.7528)