# A line segment has endpoints at #(9 ,7 )# and #(1 ,2 )#. The line segment is dilated by a factor of #4 # around #(3 ,3 )#. What are the new endpoints and length of the line segment?

##### 1 Answer

May 17, 2018

#### Explanation:

One method to perform these is by using vectors.

Let:

Dilations by a factor 4:

Position vector of the image of

We now just add:

We do the same for point b:

Position vector of the image of

So new endpoints are:

PLOT: