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

(−6,−3)
(
−
6
,
−
3
)
and (−3, 1)

Answer 1

To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

Given the points:
1. (6, -3)
2. (3, 1)

Reflecting these points across the y-axis:
1. (6, -3) becomes (-6, -3)
2. (3, 1) becomes (-3, 1)

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

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