# 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