To reflect the point $(3, -7)$ over the line $y = x$, you switch the coordinates of the point. This is because the reflection over $y = x$ interchanges the $x$- and $y$-coordinates of the point.

Given the point $(3, -7)$:

• After reflection over $y = x$, the coordinates are reversed.

Thus, the image of $(3, -7)$ after reflection over the line $y = x$ is $(-7, 3)$.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you reflect a point over the line $y = -x$?
2. What happens when you reflect a point over the $x$-axis or $y$-axis?
3. How can you determine the distance of a point from a line before and after reflection?
4. What is the image of the point $(-7, 3)$ after reflecting over $y = x$ again?
5. How do transformations like reflections affect the orientation of geometric shapes?

Tip: To reflect over $y = x$, simply swap the $x$- and $y$-coordinates. For $y = -x$, swap and negate both.