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A geometric equation is just a fancy way of saying a math formula that describes a shape. Depending on what shape you're working with, the equation changes. Here are some of the most common ones:

👉 A line: The equation is usually written as y = mx + b, where:

m is the slope (how steep the line is).

b is where the line crosses the y-axis.

👉 A circle: The equation looks like (x - h)² + (y - k)² = r², where:

(h, k) is the center of the circle.

r is the radius (the distance from the center to the edge).

👉 A parabola (U-shaped curve): The formula is y = ax² + bx + c.

You’ll see this a lot in physics, like when something is thrown and follows a curved path.

👉 An ellipse (like a stretched-out circle): It follows (x - h)²/a² + (y - k)²/b² = 1.

This equation is behind things like planetary orbits!

👉 A hyperbola (two opposite curves): It looks like (x - h)²/a² - (y - k)²/b² = 1.

Basically, these equations help us describe and predict the behavior of shapes in real life, from the paths of planets to the structure of buildings.

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