The point \(P(-5,\,4)\) is reflected in the x-axis. What are the coordinates of its image?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → \((-5,\,-4)\)
In a reflection in the x-axis the point moves straight down (or up) to the same distance on the other side of the axis: the x-coordinate stays the same and the y-coordinate changes sign.
P is 4 units above the x-axis
Its image is 4 units below the x-axis, on the same vertical line \(x=-5\)
Image \(P'=(-5,\,-4)\)
