# A line segment is bisected by a line with the equation # 7 y + x = 7 #. If one end of the line segment is at #(1 ,3 )#, where is the other end?

##### 1 Answer

Jul 9, 2017

The other end is

#### Explanation:

Let's rewrite the equation of the line.

The slope is

The slope of the perpendicular line is

The equation of the perpendicular line is

The point of intersection is obtained by solving for

The point of intersection is

Let the other end of the line segment be

Then,

The other end is