Question

on a coordinate plane, how are the locations of the points (-9, 7) and (-9, -7) related?
○ a. locations unrelated
○ b. reflection across both axes
○ c. reflection across the x - axis
○ d. reflection across the y - axis

Explanation:

Step1: Recall the reflection rules

When a point \((x,y)\) is reflected across the \(x -\)axis, the new point is \((x,-y)\). When reflected across the \(y -\)axis, the new point is \((-x,y)\).

Step2: Analyze the given points

For the points \((-9,7)\) and \((-9,-7)\), the \(x -\)coordinates are the same (\(x=-9\)), and the \(y -\)coordinates are of the form \(y\) and \(-y\) (\(y = 7\) and \(-y=-7\)).

Answer:

C. reflection across the \(x -\)axis