Question

graph the image of s(6, 5) after a reflection over the line y = x.

Explanation:

Step1: Recall reflection over \( y = x \)

The rule for reflecting a point \( (x, y) \) over the line \( y = x \) is to swap the \( x \)-coordinate and the \( y \)-coordinate. So, the image of \( (x, y) \) is \( (y, x) \).

Step2: Apply the rule to \( S(6, 5) \)

For the point \( S(6, 5) \), swapping the \( x \)-coordinate (6) and the \( y \)-coordinate (5) gives the image point \( (5, 6) \).

To graph this, we locate the point where \( x = 5 \) and \( y = 6 \) on the coordinate plane.

Answer:

The image of \( S(6, 5) \) after reflection over \( y = x \) is the point \( (5, 6) \), which should be graphed at the coordinates \( (5, 6) \) on the given grid.