# A line segment is bisected by a line with the equation # 9 y + x = 5 #. If one end of the line segment is at #( 7 , 4 )#, where is the other end?

##### 1 Answer

Jun 15, 2017

The other end is:

Here is a graph:

#### Explanation:

Given:

The family of perpendicular lines is:

Use the point

The equation of the bisected line is:

Multiply equation [2] by 9 and add to equation [1]:

Use the midpoint equation to find

Find