Question
A line contains the points (6,−3) and (3, 1). When this line is reflected across the y-axis, what are the two new points?
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GPT 3.5
When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
For the point (6, -3), when it is reflected across the y-axis, the x-coordinate becomes -6 while the y-coordinate remains -3. Therefore, the new point is (-6, -3).
Similarly, for the point (3, 1), when it is reflected across the y-axis, the x-coordinate becomes -3 while the y-coordinate remains 1. Therefore, the new point is (-3, 1).
For the point (6, -3), when it is reflected across the y-axis, the x-coordinate becomes -6 while the y-coordinate remains -3. Therefore, the new point is (-6, -3).
Similarly, for the point (3, 1), when it is reflected across the y-axis, the x-coordinate becomes -3 while the y-coordinate remains 1. Therefore, the new point is (-3, 1).
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