# A line segment is bisected by line with the equation # 3 y - 3 x = 1 #. If one end of the line segment is at #(2 ,5 )#, where is the other end?

##### 1 Answer

#### Explanation:

The perpendicular to

through

Let's find where these meet. Subtracting equations,

Adding equations,

So one endpoint is

**Check:**

The midpoint is

Check the midpoint

Check perpendicularity. The y intercept is

Let's check

Zero dot product means perpendicularity.