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Slope Formulas

Slope of two given points

Slope of the given angle

Slope of a given vector of the line

Slope of the given equation

Compare the equation with , where m is the gradient of that specific line.

 

Line Formulas

Distance between two points

Vector equation

Parametric form

Point slope

General form

Slope-Intercept form

, where c is the y-intercept

Intercept form

Two-points form

Vertical and horizontal lines

Parallel lines

Perpendicular lines

Angle between two lines

Distance from a point to a line

Perpendicular bisector

Angle bisector

 

Line 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 at its center

Ellipse

Eccentricity

Horizontal major axis

Vertical major axis

Hyperbola

Eccentricity

Asymptotes

Horizontal transverse axis

Vertical transverse axis

Rectangular hyperbola

Asymptotes

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

Parabola 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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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.