The problem asks for the coordinates of point $C'$, which is the reflection of point $C(4, -5)$ across the x-axis.

To reflect a point across the x-axis, you negate its y-coordinate while keeping the x-coordinate the same.

Given that point $C$ is located at $(4, -5)$, its reflection across the x-axis would be:

$C'(4, 5)$

Thus, the coordinates of $C'$ are $(4, 5)$.

Would you like more details on reflections or have any other questions?

Here are 5 related questions for further exploration:

1. How would you reflect a point across the y-axis?
2. What are the coordinates of the reflection of $(4, -5)$ across the origin?
3. If a point is reflected twice, once across the x-axis and then across the y-axis, what would be the result?
4. How do you determine the reflection of a point across a diagonal line like $y = x$?
5. What are the rules for reflecting a point across a general line $y = mx + b$?

Tip: When reflecting across an axis, always pay attention to whether you're changing the x or y value based on which axis is involved!