Line segment xy has endpoints at (1, −3) and (5, −4). the segment reflects over the x-axis. then, it undergoes a translation 3 units to the right. what are the new coordinates for the endpoints? does the transformation affect the length of the line?

The new endpoints are (4,3) and (8,4)

Step by step:

First, reflext around the x axis. This really means flipping the sign of the y coordinates:

Then apply horizontal translation by +3 units. A horizontal translation means adding units to the x coordinates:

it would be 6xy and -16xy.