Analytical Geometry - Equation Of Line Joining Two Points A,B

3D Geometry – Equation of a Line

Line Through Two Points

In standard form:

\[ \frac{x - x_1}{x_2 - x_1} = \frac{y - y_1}{y_2 - y_1} = \frac{z - z_1}{z_2 - z_1} \]

\[ \frac{x - x_1}{l} = \frac{y - y_1}{m} = \frac{z - z_1}{n} \]

In parametric form:

\[ x = x_1 + lt, \quad y = y_1 + mt, \quad z = z_1 + nt \]

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