# Analytic Geometry Formulas

### Slope

**Slope given two points**

**Slope given the angle **

**Slope given a vector of the line**

**Slope given the equation of the line.**

### Distance Between Two Points

## Line Formulas

### Vector Equation

### Parametric Form

### Point–Slope Form

### General Form

### Slope–Intercept Form

### Intercept Form

### Two-point Form

### Vertical and Horizontal Lines

### Parallel Lines

### Perpendicular Lines

### Angle between Two Lines

### Distance from a Point to a Line

### Perpendicular Bisector

### Angle Bisectors

## Lines in Space

### Vector Form

### Parametric Form

### Cartesian Equations

### Intercept Form

## Plane Formulas

### Vectorial Equation of the Plane

### Parametric Equations of the Plane

### Cartesian Equation of the Plane

### Intercept Form

## Conic Sections Formulas

### Circle Equations

#### Circle with the Origin as its Center

### Ellipse

### Eccentricity

#### Horizontal Major Axis

#### Vertical Major Axis

### Hyperbola

### Eccentricity

### Asymptotes

#### Horizontal Transverse Axis

#### Vertical Transverse Axis

### Rectangular Hyperbola

#### Asymptotes

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#### Eccentricity

#### Equation Determined by the Asymptotes

### Parabola

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

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

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

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

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