Answer:
The sentence that describes the reflected point (x,-y) over the y-axis is:
''a point with a negative x-coordinate and a negative y-coordinate''
Step-by-step explanation:
Since not sure if specific options are available lets answer this question in a general notation.
Let us consider the Co-ordinate system in two dimensions (i.e. [tex]x[/tex] and [tex]y[/tex]); where the horizontal line represents the [tex]x[/tex] values and the vertical line representes the [tex]y[/tex] values.
Now we are told that we have a point with a positive x-coordinate and a negative y-coordinate, thus:
[tex](x,-y)[/tex]
This means our point is located at the 4th Quadrant (where [tex]x[/tex] values are positive and [tex]y[/tex] values are negative).
Reflecting it over the y-axis means that our point is now located on the 3rd Quadrant (where both [tex]x[/tex] and [tex]y[/tex] values are negative).
Therefore the new reflected point will now be:
[tex](-x,-y)[/tex]
which in sentence form can read as:
''a point with a negative x-coordinate and a negative y-coordinate''
The reflection of a point with a positive x-coordinate and a negative y-coordinate about the y-axis will result in positive x and y-coordinates.
Given information:
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Let the point be (+a,-b).
The point will be in the fourth quadrant because it has a positive x and negative y coordinate.
After the reflection about the y-axis, the point will jump to the first quadrant.
So, the new coordinates of the reflected point will be (+a,+b).
Therefore, the reflection of a point with a positive x-coordinate and a negative y-coordinate about the y-axis will result in positive x and y-coordinates.
For more details, refer to the link:
https://brainly.com/question/938117
