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

(6, 3)
and (3, −1)

Answer 1

When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

Starting with the points:

1. (6, -3) → Reflecting gives (-6, -3)
2. (3, 1) → Reflecting gives (-3, 1)

So, when the line containing the points (6, -3) and (3, 1) is reflected across the y-axis, the new points are:

(−6,−3) and (−3, 1)

The correct choice from the options provided is:

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