# A line segment has endpoints at #(7 ,8 )# and #(3 ,5 )#. If the line segment is rotated about the origin by #(3 pi)/2 #, translated vertically by #-2 #, and reflected about the y-axis, what will the line segment's new endpoints be?

##### 1 Answer

to

to

#### Explanation:

A rotation of

In our case, if

and if

If we translate vertically by -2, the rotated segment

The reflection about the y-axis implies to change the signs only to the abscissas

If we reflect about the y-axis, we get