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?

To reflect a point across the y-axis, we change the sign of its x-coordinate while keeping its y-coordinate the same.

For the point (6, -3), reflecting it across the y-axis would give us (-6, -3).

For the point (3, 1), reflecting it across the y-axis would give us (-3, 1).

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