Reflect (-6, -7) across the x-axis. Then reflect the result across the y-axis. What are the coordinates of the final point? ​

The coordinates of the final point are (6, 7).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Here we change the sign of the y-coordinate and keep the x-coordinate same.

Along y-axis:

(x, y) - (-x, y)

Here we change the sign of the x-coordinate and keep the y-coordinate same.

Example:

(4, 3) reflection along the x-axis is (4, -3).

(4, 3) reflection along the y-axis is (-4, 3).

We have,

(-6, -7)

We use these:

Along x-axis:

(x, y) – (x, -y)

Here we change the sign of the y-coordinate and keep the x-coordinate same.

This means,

(-6, -7) → (-6, 7)

Now,

Along y-axis:

(x, y) - (-x, y)

Here we change the sign of the x-coordinate and keep the y-coordinate same.

This means,

(-6, 7) → (6, 7)

Thus,

The coordinates of the final point are (6, 7).

Learn more about reflections here:

https://brainly.com/question/12463306

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