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)

(−6,−3) and (3, 1)

(6, 3) and (3, −1)

(−6,−3) and (−3, 1)

Answer 1

When a point \((x, y)\) is reflected across the y-axis, the new point becomes \((-x, y)\).

Let's apply this to the two points:

1. For the point \((6, -3)\): \[ (6, -3) \rightarrow (-6, -3) \]

2. For the point \((3, 1)\): \[ (3, 1) \rightarrow (-3, 1) \]

Thus, 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).