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

Answer 1

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

For the given points:

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

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

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

So, the correct response is:
**(−6,−3) and (−3, 1)**.