-reflected-over-the-y-axis.jpeg "(-8 9) Reflected Over The Y-axis")
Reflection of (-8, 9) over the Y-Axis
In geometry, a reflection is a transformation that flips a shape or a point over a line. In this case, we are going to reflect the point (-8, 9) over the Y-axis.
What is the Y-Axis?
The Y-axis is a vertical line that runs up and down on a coordinate plane. It is one of the two axes that make up the Cartesian coordinate system, the other being the X-axis. The Y-axis is represented by the vertical line that passes through the origin (0, 0).
Reflection over the Y-Axis
When we reflect a point over the Y-axis, we essentially flip it over to the other side of the Y-axis. To do this, we change the sign of the x-coordinate while keeping the y-coordinate the same.
Reflecting (-8, 9) over the Y-Axis
Let's reflect the point (-8, 9) over the Y-axis. To do this, we change the sign of the x-coordinate, which is -8, to 8. The y-coordinate remains the same, which is 9.
So, the reflection of (-8, 9) over the Y-axis is:
(8, 9)
Graphical Representation
Here's a graphical representation of the reflection:
Before Reflection:
(-8, 9)
After Reflection:
(8, 9)
As you can see, the point (-8, 9) has been flipped over to the other side of the Y-axis, resulting in the point (8, 9).
Conclusion
In conclusion, reflecting the point (-8, 9) over the Y-axis results in the point (8, 9). This is done by changing the sign of the x-coordinate while keeping the y-coordinate the same.
