Question

Question

A line contains the points (6,−3)
(
6
,
−
3
)
and (3, 1)
(
3
,

1
)
. When this line is reflected across the y
y
-axis, what are the two new points?(1 point)
Responses

(−6,−3)
(
−
6
,
−
3
)
and (3, 1)
(
3
,

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

(−6, 3)
(
−
6
,

3
)
and (−3, −1)
(
−
3
,

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

(6, 3)
(
6
,

3
)
and (3, −1)
(
3
,

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

(−6,−3)
(
−
6
,
−
3
)
and (−3, 1)

Answer 1

When reflecting a point across the y-axis, the x-coordinate 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 gives: (-6, -3)

2. For the point (3, 1):

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

Thus, the new points after the reflection are (-6, -3) and (-3, 1).

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