The slope of a line parallel to the line passing through the points (0, 6) and (7, 3) is

1. $\dfrac{3}{7}$

2. -$\dfrac{3}{7}$

3. $\dfrac{7}{3}$

4. -$\dfrac{7}{3}$

Slope of a line parallel to the line passing through the points (0, 6) and (7, 3) = Slope of the line passing through the points (0, 6) and (7, 3) which is given by

$= \dfrac{y$2 - y1}{x2 - x1} \\[1em] = \dfrac{3 - 6}{7 - 0} \\[1em] = -\dfrac{3}{7} \\[1em]

Hence, Option 2 is the correct option.