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The image contains a math problem in Indonesian that asks for the reflection of a point \( S(-4, 5) \) with respect to the line \( y = -3 \). The task is to find the reflection of point \( S \) over the line.

To solve this:

1. The line of reflection is \( y = -3 \), which is a horizontal line.
2. The reflection of a point over a horizontal line will have the same x-coordinate but the y-coordinate will be reflected symmetrically across the line.
3. The distance from the point \( S(-4, 5) \) to the line \( y = -3 \) is \( 5 - (-3) = 8 \).
4. The reflected point will have a y-coordinate that is 8 units below the line \( y = -3 \), so the new y-coordinate is \( -3 - 8 = -11 \).
5. Therefore, the reflection of \( S(-4, 5) \) across the line \( y = -3 \) is \( S'(-4, -11) \).

Thus, the reflection point \( S' \) is \( (-4, -11) \).

Would you like further explanation or clarification on this? Here are some related questions you could explore:

1. How does the reflection of points work with respect to other types of lines (vertical, diagonal)?
2. What is the formula for reflecting a point across a general line \( y = c \)?
3. How would the reflection of a point change if the line of reflection was vertical?
4. What happens if the point lies exactly on the line of reflection?
5. Can reflections over lines be extended to other geometric transformations, like rotations or translations?

**Tip:** For reflections over horizontal lines, just mirror the vertical distance to find the new y-coordinate.

Titik S (-4, 5) di refleksikan terhadap garis y = -3. Bayangan titik S adalah ....

Find the reflection of the point S(-4, 5) across the line y = -3 using the reflection theorem in coordinate geometry. This detailed step-by-step solution helps students understand how to reflect points over horizontal lines. Suitable for students in Grades 9-11.

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