## What is the length of the segment with endpoints (-3,4) and (5,4)

October 15, 2019// Blog//

**Answer:**

**A reflection of the line segment across the line y = –x.**

**Step-by-step explanation:**

Given : A line segment has endpoints at (–1, 4) and (4, 1).

To find : Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4).

Solution : We have given that endpoints at (–1, 4) and (4, 1).

After reflection endpoints become (–4, 1) and (–1, –4).

Reflection: (–1, 4) →→ (–4, 1)

(4, 1)→→→ (–1, –4).

We can see x coordinate become -y coordinate and y coordinate become -x coordinate.

**(x ,y) →→ (–y, -x) **

This is the a reflection of the line segment across the line y = –x rule of reflection .

**Therefore, a reflection of the line segment across the line y = –x.**