A line contains the points (6,−3)

Question

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 6 comma 3 right parenthesis and left parenthesis 3 comma negative 1 right parenthesis

(−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)

Answer 1

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

Given the points (6, -3) and (3, 1):

1. For the point (6, -3):

   • Reflecting across the y-axis: (-6, -3)

2. For the point (3, 1):

   • Reflecting across the y-axis: (-3, 1)

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

The correct response is: (−6,−3) and (−3, 1).