Question

A line contains the points (6, −3) (6, − 3) and (3, 1) ( 3, 1 ). When this line is reflected across the
-axis, what are the two new points?(1 point) (−6, −3) ( − 6, − 3) and (3, 1) ( 3, 1 )
(6, 3) (6, 3) and (3, − 1) ( 3, − 1 )
(−6, 3) ( − 6, 3) and (−3, − 1) ( −3, − 1 )
(−6, −3) ( − 6, − 3) and (−3, 1)

Answer 1

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

1. For the point (6, −3):
- Reflecting this point:
\[
(6, -3) \rightarrow (-6, -3)
\]

2. For the point (3, 1):
- Reflecting this point:
\[
(3, 1) \rightarrow (-3, 1)
\]

So, after reflecting the points (6, -3) and (3, 1) across the y-axis, you get the new points (-6, -3) and (-3, 1).

Thus, the correct answer is:
**(−6, −3) and (−3, 1)**.