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 negative 3 right parenthesis and left parenthesis negative 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)
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

Answer 1

To find the new points after reflecting the given points across the y-axis, we change the sign of the x-coordinates while keeping the y-coordinates the same.

The original points are:

1. (6, -3)
2. (3, 1)

Reflecting these points across the y-axis:

1. The reflection of (6, -3) is (-6, -3).
2. The reflection of (3, 1) is (-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).