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