The problem asks to identify the shape/polygon formed by connecting the points $A(-6,9)$, $B(1,9)$, $C(1,6)$, $D(4,6)$, $E(4,2)$, and $F(-6,2)$ in the given coordinate plane.

1. Problem Description

The problem asks to identify the shape/polygon formed by connecting the points $A(-6,9)$, $B(1,9)$, $C(1,6)$, $D(4,6)$, $E(4,2)$, and $F(-6,2)$ in the given coordinate plane.

2. Solution Steps

By looking at the image, we can see that the points are connected in the following order: $A$ to $B$, $B$ to $C$, $C$ to $D$, $D$ to $E$, $E$ to $F$, and $F$ to $A$. The shape formed is a polygon with 6 sides. A polygon with 6 sides is called a hexagon. From the image, the given polygon has sides that connect the points $A(-6,9)$ to $B(1,9)$, $B(1,9)$ to $C(1,6)$, $C(1,6)$ to $D(4,6)$, $D(4,6)$ to $E(4,2)$, $E(4,2)$ to $F(-6,2)$, and $F(-6,2)$ to $A(-6,9)$. Therefore, the shape is a hexagon.

3. Final Answer

The shape is a hexagon.