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 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 (6, 3) and (3, −1)

Answer 1

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

For the points given:

1. Reflecting \((6, -3)\) across the y-axis:
- New point: \((-6, -3)\)

2. Reflecting \((3, 1)\) across the y-axis:
- New point: \((-3, 1)\)

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

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