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 6 comma 3 right parenthesis and left parenthesis 3 comma negative 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

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

Let's apply this to the two given points:

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

   • The reflection across the \(y\)-axis is \((-6, -3)\).

2. For the point \((3, 1)\):

   • The reflection across the \(y\)-axis is \((-3, 1)\).

Therefore, the new points after the reflection are \((-6, -3)\) and \((-3, 1)\).

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