The slope of the line passing through the origin and the point (-3, 4) is :

1. $\dfrac{4}{3}$

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

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

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

By formula,

Slope = $\dfrac{y$2 - y1}{x2 - x1}

Substituting values we get :

Slope of line passing through (0, 0) and (-3, 4)

= $\dfrac{4 - 0}{-3 - 0} = \dfrac{4}{-3} = -\dfrac{4}{3}$.

Hence, Option 2 is the correct option.