The point (4, −2) is reflected over the line y = x. What are the coordinates of its
image? Express your answer as an ordered pair.
To find the reflection of a point over a line, we can use the formula for the point reflection:
(x, y) → (y, x)
Plugging in the coordinates of the given point (4, -2), we get:
(4, -2) → (-2, 4)
Therefore, the coordinates of the reflection of the point (4, -2) over the line y = x are (-2, 4).