Analytic Geometry Formulas
Slope

Slope given two points
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Slope given the angle
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Slope given a vector of the line
Slope given the equation of the line.
Distance Between Two Points

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Line Formulas
Vector Equation

Parametric Form
Point–Slope Form
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General Form
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Slope–Intercept Form
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Intercept Form

Two-point Form
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Vertical and Horizontal Lines
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Parallel Lines
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Perpendicular Lines
Angle between Two Lines


Distance from a Point to a Line

Perpendicular Bisector
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Angle Bisectors

Lines in Space
Vector Form
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Parametric Form

Cartesian Equations

Intercept Form
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Plane Formulas
Vectorial Equation of the Plane
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Parametric Equations of the Plane

Cartesian Equation of the Plane

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Intercept Form
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Conic Sections Formulas
Circle Equations
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Circle with the Origin as its Center
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Ellipse

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Eccentricity
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Horizontal Major Axis
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Vertical Major Axis
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Hyperbola

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Eccentricity
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Asymptotes
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Horizontal Transverse Axis
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Vertical Transverse Axis
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Rectangular Hyperbola
Asymptotes
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Eccentricity
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Equation Determined by the Asymptotes
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Parabola
Parabolas with vertex at (0, 0) and axis on the y-axis

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Parabola with vertex at (a, b) and axis parallel to the y-axis


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Parabolas with vertex at (0, 0) and axis on the x-axis

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Parabola with vertex at (a, b) and axis parallel to the x-axis

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