a.I am not in the second quadrant.

b.One point on my border is (-2,-1)
It is not one of my solutions
c. My border is a horizontal line

( -2,1)

Based on the given information, let's work step-by-step to determine the properties of the shape you are describing.

a. You mentioned that you are not in the second quadrant. The second quadrant is the top-left section of the Cartesian plane. This means that your shape must lie outside or on the boundaries of the second quadrant.

b. You provided a point on the border of your shape as (-2, -1). Let's plot this point on a graph to get a better understanding.

The point (-2, -1) lies in the third quadrant, which is the bottom-left section of the Cartesian plane. Since this point lies on the border of your shape, it helps in defining the shape but is not considered a solution.

c. You stated that your border is a horizontal line. A horizontal line on the Cartesian plane has the equation y = constant. Since this line is horizontal, the y-coordinate will remain the same for all points on the line.

Putting all the information together, we have a shape that is not in the second quadrant, has a point (-2, -1) on its border, and the border is a horizontal line.

However, based on the information provided, it is difficult to determine the exact shape you are describing. More information or context is needed to identify the shape accurately.

Based on the information provided, we can deduce the following:

a. Since you are not in the second quadrant, you must be in one of the other three quadrants: first, third, or fourth.

b. The point on your border is (-2, -1). This point lies in the third quadrant because both of its coordinates are negative. This eliminates the possibility of being in the first or fourth quadrant.

c. Your border is a horizontal line. This means that all the points on your border have the same y-coordinate. Since the point (-2, -1) is on your border, it has a y-coordinate of -1. Therefore, all the points on your border have a y-coordinate of -1, which defines a horizontal line.

In conclusion, based on the given information, we can determine that you are most likely in the third quadrant and your border is a horizontal line passing through the point (-2, -1).