Area of Triangle Using Vertex Coordinates

A triangle has vertices at points A(2, 3), B(6, -1), and C(-2, -1). Determine the area of triangle ABC.

To find the area of a triangle with given vertices in coordinate geometry, you can use the formula:

$$ ext{Area} = rac{1}{2} | x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) | $$

Where $(x_1, y_1)$, $(x_2, y_2)$, and $(x_3, y_3)$ are the coordinates of the vertices of the triangle.