A line segment is bisected by a line with the equation # 4 y - 2 x = 5 #. If one end of the line segment is at #( 7 , 3 )#, where is the other end?
1 Answer
The other end is
Explanation:
Given:
Find the slope of the bisector:
The slope is
The of the bisected line is:
Use the point-slope form of the equation of a line to find the equation of the bisected line:
Add equation [2] to equation [1]:
Use equation [2] to find the corresponding value of x:
Use the midpoint formulas:
Substitute
Substitute
Solve for
The other end is