Analytic Geometry Formulas

Slope

Slope of a Line

Slope given two points

Slope of a Line Formula

Slope given the angle

Slope of a Line Formula

Slope given a vector of the line

Slope of a Line Formula

Slope given the equation of the line.

Slope of a Line Formula

Distance Between Two Points

Distance Between Two Points

Points in a Line

Distance Between Two Points


Line Formulas

Vector Equation

Vector Equation

Parametric Form

Line Formula in Parametric Form

Point–Slope Form

Line Formula in Point–Slope Form

General Form

Line Formula in General Form

Line Formula in General FormSlope in General Form

Slope–Intercept Form

Intercept Form

Line Equation in Intercept Form

Two-point Form

Line Formula in Two-point Form

Vertical and Horizontal Lines

Vertical and Horizontal Lines

Vertical and Horizontal Lines

Parallel Lines

Parallel Lines

Parallel Lines

Parallel Lines

Perpendicular Lines

Perpendicular Lines

Angle between Two Lines

Angle between Two Lines

Angle between Two Lines

Distance from a Point to a Line

Distance from a Point to a Line

Perpendicular Bisector

Perpendicular Bisector

Angle Bisectors

Angle Bisectors


Lines in Space

Vector Form

Vector in Space

Parametric Form

Lines Parametric Form

Cartesian Equations

Line in Cartesian Form

Intercept Form

Line Intercept Form


Plane Formulas

Vectorial Equation of the Plane

Vectorial Equation of the Plane

Vectorial Equation of the Plane


Parametric Equations of the Plane

Parametric Equations of the Plane


Cartesian Equation of the Plane

Cartesian Equation of the Plane

Cartesian Equation of the Plane


Intercept Form

Plane in Intercept Form

Coordinate Coefficients


Conic Sections Formulas

Circle Equations

Circle Equation

Circle Equation

Circle Operations

Circle Propertiesradio


Circle with the Origin as its Center

Circle with the Origin as its Center


Ellipse

Ellipse

Ellipse

Ellipse Components

Eccentricity

Eccentricity of an Ellipse

 

Horizontal Major Axis

Horizontal Major Axis of an EllipseHorizontal Major Axis of an Ellipse

Vertical Major Axis

Vertical Major Axis of an EllipseVertical Major Axis of an Ellipse



Hyperbola

Hyperbola

Hyperbola Components

Hyperbola Components


Eccentricity

Eccentricity of a Hyperbola

Asymptotes

Asymptote Equation


Horizontal Transverse Axis

Horizontal Transverse AxisHorizontal Transverse Axis

Vertical Transverse Axis

Vertical Transverse AxisVertical Transverse Axis


Rectangular Hyperbola

Rectangular Hyperbola

Asymptotes

Asymptotes of a Rectangular Hyperbola, Asymptotes of a Rectangular Hyperbola

Eccentricity

Eccentricity of a Rectangular Hyperbola

Equation Determined by the Asymptotes

Equation Determined by the Asymptotes


Parabola

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

Vertical Parabola

Vertical Parabola Equation

Vertical Parabola Equation


Vertical Parabola

Vertical Parabola Equation

Vertical Parabola Equation


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

Vertical Parabola

Vertical Parabola Equation

Vertical Parabola Equation

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

Horizontal Parabola

Horizontal Parabola Equation

Horizontal Parabola

Horizontal Parabola Equation

Horizontal Parabola Equation

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

Horizontal Parabola


Horizontal Parabola Equation

Horizontal Parabola Equation