# A line segment has endpoints at #(9 ,3 )# and #(5 ,4 )#. The line segment is dilated by a factor of #3 # around #(4 ,6 )#. What are the new endpoints and length of the line segment?

##### 1 Answer

Endpoints

#### Explanation:

Let

I always think of translating the dilation point to the origin, dilating, then translating back. So

That's the standard parametric form for a line from

to

We have

We can precompute

The image of

The image of

The length will be three times the original length,

We can check that.