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25. Parametric Form

A line that passes through point (h,k) (h,k) with slope m m can be described by the parametric equation x = h + t, \quad y = k + mt. x = h+t, y = k +mt. More generally, let m = \tan \alpha, m = tanα, where \alpha α is the tilt angle.
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Parametric Equations

For example, if we want to write a parametric equation of the line that passes through point A (q, r, s) and is parallel to the direction vector v

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Lloyd Pelletier

Calculus III

Parametric equations are used to write functions in terms of one variable – this is also called p arameterization. We can use trigonometric identities to write functions into one variable.
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Equations of Lines

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