Question

The point (14, −15) is reflected across both the x - and y -axes. What are the coordinates of the reflected point?

Answer 1

To reflect the point (14, -15) across the x-axis, you change the sign of the y-coordinate. Thus, the coordinates after reflecting across the x-axis are:

\[
(14, -(-15)) = (14, 15)
\]

Next, we reflect the point (14, 15) across the y-axis by changing the sign of the x-coordinate. Therefore, the coordinates after reflecting across the y-axis are:

\[
(-14, 15)
\]

So, the coordinates of the point (14, -15) after reflecting across both the x- and y-axes are \(\boxed{(-14, 15)}\).