Question

what is the image of (4, −7) after a reflection over the line y = x? answer attempt 1 out of 2 (□,□) submit answer

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 \((4, -7)\)

For the point \((4, -7)\), swapping the \( x \)-coordinate (4) and the \( y \)-coordinate (-7) gives the new point \((-7, 4)\).

Answer:

\((-7, 4)\)