Question

The point (4, 1) is reflected over the line y = –x to create Point B. What are the coordinates of B?

Answer 1

(-4,-1) You flip them both and switch the signs.

Answer 2

Upon reflection over the line y = -x, the point (4, 1) becomes (-1, -4) which are the coordinates of point B.

Step-by-step explanation:

When reflecting the point (4, 1) over the line y = -x, the x and y coordinates switch places and change their signs, because the line y = -x is at a 45-degree angle to both the x and y axes. Therefore, if a point (a, b) is reflected over the line y = -x, the reflected point would be (-b, -a).

Applying this to the point (4, 1), the reflected point B, or coordinates of B, will be (-1, -4).