Question

2. If the following line segment is reflected across y=- x what are the coordinates of the new endpoints?

Answer 1

(Okay, thank you, please wait for a moment as I correct the answering tab.)

(I will start to answer the question. Please let me know if you have any questions anytime or if you don’t see the answering tab.)

Recall that the point (x,y) reflected over y=-x is:

$(-y,-x)\text{.}$

Now, from the given graph we get that the endpoints are:

$(-3,2)\text{ and (-1,6).}$

(Can you see the coordinates in the answering tab?)

Therefore, the endpoints of the line reflected over the x-axis will be:

$(-2,3)\text{ and (-6,1})\text{.}$

(Do you have any doubts so far?)

Answer: The coordinates of the new endpoints will be:

$(-2,3)\text{ and (-6,1})\text{.}$

(I finished, do you have any doubts regarding the solution?)

(Please wait for a moment as I double-check)

(Thank you for pointing this out. Please allow me a few minutes to review the steps and the answer.)

(The graph only has 2 terminal points, could you double-check if the graph corresponds to those answers?)

(Okay, please send me the photo of the correct options.)

(Perfect!, thank you for working with me today.

I’d really appreciate you letting me know how I did by rating our session after you exit and remember that this answer will be saved to your profile after this session.

Thanks and have an awesome day!)