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 3 right parenthesis and left parenthesis negative 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)

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.

For the point (6, -3), reflecting it across the y-axis gives:
- \(x\): from 6 to -6
- \(y\): stays -3

This results in the point (-6, -3).

For the point (3, 1), reflecting it across the y-axis gives:
- \(x\): from 3 to -3
- \(y\): stays 1

This results in the point (-3, 1).

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

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