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?

When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.

The given line contains the points (6, -3) and (3, 1).

When the first point (6, -3) is reflected across the y-axis, its x-coordinate changes sign, resulting in the new point (-6, -3).

Similarly, when the second point (3, 1) is reflected across the y-axis, its x-coordinate changes sign, resulting in the new point (-3, 1).

Therefore, the two new points after reflecting the line across the y-axis are (-6, -3) and (-3, 1).