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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?

1. (6, 3) and (3, −1)
2. (−6,−3) and (−3, 1)
3. (−6, 3) and (−3, −1)
4. (−6,−3) and (3, 1)

1 answer

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

For the points given:

  1. The point (6, -3) reflected across the y-axis becomes (-6, -3).
  2. The point (3, 1) reflected across the y-axis becomes (-3, 1).

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

So, the correct answer is: 4. (−6,−3) and (−3, 1).