Area of Triangle in Coordinate Geometry

Consider the triangle formed by the points A(2, 3), B(4, 7), and C(6, 1) on a coordinate plane. The area of this triangle can be calculated using the formula:

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

where the coordinates of the points are given as (x₁, y₁), (x₂, y₂), and (x₃, y₃).

Calculate the area of triangle ABC using the given coordinates.