Question

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 point)
Responses

(−6, 3)
and (−3, −1)
left parenthesis negative 6 comma 3 right parenthesis and left parenthesis negative 3 comma negative 1 right parenthesis

(−6,−3)
and (3, 1)
left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis 3 comma 1 right parenthesis

(6, 3)
and (3, −1)
left parenthesis 6 comma 3 right parenthesis and left parenthesis 3 comma negative 1 right parenthesis

(−6,−3)
and (−3, 1)

Answer 1

When reflecting a point across the y-axis, the x-coordinate of the point changes sign, while the y-coordinate remains the same.

For the point \( (6, -3) \):
- The reflection across the y-axis is \( (-6, -3) \).

For the point \( (3, 1) \):
- The reflection across the y-axis is \( (-3, 1) \).

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

The correct response is:

**(−6,−3) and (−3, 1)**.