To reflect a point across the $y$-axis, we change the sign of the $x$-coordinate while keeping the $y$-coordinate the same.

The given point is $(-6, 5)$.

Reflection rule:

• $(x, y)$ becomes $(-x, y)$.

Applying the rule:

• The $x$-coordinate is $-6$, so its reflection is $-(-6) = 6$.
• The $y$-coordinate is $5$, and it remains unchanged.

Thus, the reflection of $(-6, 5)$ across the $y$-axis is: $(6, 5)$

Final Answer:

$(6, 5)$

Do you want a detailed explanation or examples of similar reflections?

Related Questions:

1. How do you reflect a point across the $x$-axis?
2. What are the coordinates of reflecting $(3, -4)$ across the $y$-axis?
3. How does reflecting a point differ from translating it?
4. What is the general formula for reflecting across any line (like $y = x$)?
5. Can you explain why the $y$-coordinate remains unchanged in this type of reflection?

Tip:

When reflecting across the $y$-axis, focus only on flipping the sign of the $x$-coordinate; the $y$-coordinate always stays the same!