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?
A. (6, 3) and (3, −1)
B. (−6, 3) and (−3, −1)
C. (−6,−3) and (−3, 1)
D. (−6,−3) and (3, 1)
When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.
For the point (6, -3), reflecting across the y-axis would give us (-6, -3).
For the point (3, 1), reflecting across the y-axis would give us (-3, 1).
Therefore, the two new points are (-6, -3) and (-3, 1).
The correct answer is C. (−6,−3) and (−3, 1).