Analytic Geometry

Analytic geometry, also known as coordinate geometry, is a branch of mathematics that combines algebra and geometry. It uses a coordinate system, typically a two-dimensional grid of x (horizontal) and y (vertical) axes, to represent geometric shapes and relationships. By translating shapes, such as points, lines, and curves, into algebraic equations, we can analyze their properties and interactions. This approach allows us to solve geometry problems using algebraic methods, making complex shapes easier to work with and understand. It bridges the gap between numerical calculations and visual representation, providing a powerful tool for mathematical reasoning.