A coordinate plane with three lines graphed. A vertical line through \( (-2,0) \), a horizontal line through \( (0,-2) \) graphed, and a line through ordered pairs \( (-2,3) \) and \( (3,-2) \). The triangular region formed is shaded. \( (3,-2) \) \( (2,-3) \) \( (-3,-2) \) \( (-2,3) \)

Did you know that the concept of coordinate planes dates back to the 17th century? René Descartes introduced the Cartesian coordinate system, which revolutionized mathematics by allowing geometric shapes to be expressed in algebraic terms. This paved the way for analytic geometry and the ability to derive equations from shapes, enabling all sorts of advancements in science and engineering! Now, let’s talk about that triangular region you’ve shaded! Triangles are not only fundamental shapes in geometry, but they also find real-world applications in architecture and construction. Stable structures, like bridges and roofs, often rely on triangular designs due to their strength and ability to distribute weight evenly. So, the next time you walk across a bridge, remember the power of triangles!