# A line segment has endpoints at #(5 ,9 )# and #(6 ,7 )#. The line segment is dilated by a factor of #4 # around #(5 ,1 )#. What are the new endpoints and length of the line segment?

##### 1 Answer

#### Explanation:

Start by drawing the line in a rectangular coordinate plane and locating the point of dilation

Draw lines from

Since the point

The slope of the original line =

You can see the process below:

The dilated line segment should be

Original line segment length

Dilated line segment length =

So endpoints of the dilated line are: