Using the method

Given vertices of the triangle: A(2, -2), B(4, 3), and C(1, 2).

First, we need to find the equations of the lines AB, BC, and CA.

We know that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by,

Therefore,

The equation of AB is,

The equation of BC is,

The equation of CA is,

Now, the area of a triangle can be divided into two triangles,