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 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 6 comma 3 right parenthesis and left parenthesis 3 comma negative 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

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.

Starting with the given points:

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

   • The x-coordinate changes from 6 to -6.
   • The new point is (-6, -3).

2. For the point (3, 1):

   • The x-coordinate changes from 3 to -3.
   • The new point is (-3, 1).

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

The correct response is: (−6,−3) and (−3, 1) left parenthesis negative 6 comma negative 3 right parenthesis and left parenthesis negative 3 comma 1 right parenthesis.