Question

The grocery store is located at a point on a coordinate plane with the same y coordinate as the bank but with the opposite x coordinate the grocery store and the bank are reflections of each other across which axis

Answer 1

Answer: The grocery store and the bank are reflections of each other across the x-axis.

Step-by-step explanation: The grocery store and the bank are reflections of each other across the x-axis.

To understand this, let's break it down step by step. A reflection is a transformation that "flips" an object over a line, called the axis of reflection. In this case, the axis of reflection is the x-axis, which is the horizontal line that goes through the origin (0, 0) on the coordinate plane.

When two points are reflected across the x-axis, their y-coordinates change sign, while their x-coordinates stay the same.

For example, let's say the grocery store is located at the point (3, 2) on the coordinate plane. The y-coordinate of the grocery store is 2. When we reflect it across the x-axis, the y-coordinate becomes -2. So, the reflected point is (-3, -2).

Now, let's consider the bank. Since it has the same y-coordinate as the grocery store, let's say it is located at the point (-3, 2). When we reflect this point across the x-axis, the y-coordinate changes sign and becomes -2. The x-coordinate stays the same. Therefore, the reflected point is (3, -2).

As you can see, the grocery store and the bank are reflections of each other across the x-axis because their y-coordinates change sign while their x-coordinates remain the same.

Hope This Helps :)

Answer 2

The vertical axis on a graph is the y-axis and the horizontal axis is the x-axis. Keeping this in mind, if they have the same y coordinate that means vertically they are on the same level but their x coordinates are opposite each other, this means 2 things:
1. they are not on the same level horizontally
2. you have to cross the vertical (y) axis to get from one point to the other.

So to answer your question, These two points are reflected across the y axis.

Hope this helps.