Q: Why are coordinates and quadrants important in geometry?

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Quadrants 2 and 3 have negative X values.

X-Y Coordinates Origin Quadrants Points

Analytical geometry is more commonly known as coordinate geometry. Using Cartesian, Polar or other coordinates systems, geometric shapes can be represented in algebraic terms. This bringing together of algebra and geometry enables the results in one branch of mathematics to be applied to finding solutions in the other.

I assume you mean (8, 0). If one or both of the coordinates are zero, the point is not in any of the four quadrants. Instead, it is on the axes - between two quadrants.

They satisfy the equation x + y = 0

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Quadrants 2 and 3 have negative X values.

The coordinates of all points in the coordinate plane consist of ordered pairs of numbers.

X-Y Coordinates Origin Quadrants Points

The x and y coordinates are both positive in Q I. They are both negative in Q III

Descartes.

Descartes did not invent any main coordinates, but he did invent the cartesian plane. Being one of the most important aspects in coordinate geometry it is used up to this day.

Analytical geometry is more commonly known as coordinate geometry. Using Cartesian, Polar or other coordinates systems, geometric shapes can be represented in algebraic terms. This bringing together of algebra and geometry enables the results in one branch of mathematics to be applied to finding solutions in the other.

B Abrahamson has written: 'Notes on plane coordinate geometry' -- subject(s): Coordinates, Geometry, Plane, Plane Geometry

I assume you mean (8, 0). If one or both of the coordinates are zero, the point is not in any of the four quadrants. Instead, it is on the axes - between two quadrants.

A graph with x and y coordinates has 4 quadrants, so would be a 4 quadrant graph.

They satisfy the equation x + y = 0

Rise over run, generally change in y-coordinates divided by change in x-coordinates.