Explain why a system of coordinates is a "bridge" between algebra and geometry.

The Cartesian Coordinate System was created in the 17th century by Ren Descartes, a French mathematician, who founded analytic geometry, the bridge that connected algebra and geometry into one solid discipline. A Cartesian Coordinate System is also known as a rectangular coordinate system because of the squares on the grid. The system uses numbers to identify points in a space with perpendicular number lines called axes. The axes use the perpendicular lines to form the framework of the system; these perpendicular lines in 2D are called the x-axis and y-axis, in 3D, they add a z-axis. The lines intersect at the origin point and are commonly represented by the coordinates (0,0). Coordinates come in pairs or triplets, for example, (x, y) or (x, y, z), representing a specific position related to the origin and the axes. The first number in the order pair represents the distance along the x-axis, and the second represents the distance along the y-axis. In simple terms, coordinate your points by moving to the left or right and up or down. For example, if your coordinates are (5, 2), you should move five spaces to the right and two spaces up, which should mark one point.

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