Cartesian Equations
Definition
Cartesian equations are algebraic equations that describe curves or shapes on a coordinate plane using x and y variables. They are named after René Descartes, who introduced this method of representing geometric figures.
Analogy
Imagine you have a treasure map with coordinates (x,y) that lead you to buried treasure. The Cartesian equation is like deciphering those coordinates to find where "X marks the spot" on your map.
Related terms
Slope-intercept Form: A linear equation written in slope-intercept form (y = mx + b), where m represents slope and b represents y-intercept.
Circle Equation: An equation in which x^2 + y^2 = r^2 represents a circle centered at (0,0) with radius r.
Parabola Equation: An equation in which y = ax^2 + bx + c represents a parabolic curve.
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Practice Questions (1)
- How can polar equations be converted to Cartesian equations?
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