# A line segment is bisected by a line with the equation # - y + 3 x = 1 #. If one end of the line segment is at #(6 ,3 )#, where is the other end?

##### 1 Answer

#### Explanation:

We know that the line

This has a gradient of 3. The line containing

Finding the equation of this line using point slope method:

Solving

Substitute in

Coordinates of the midpoint are found using:

Let the unknown endpoint be

Then:

Coordinates of the other endpoint are: