Question

Question was provided via image upload.

Explanation:

Step1: Identify two points on the line

Choose $(0, 2)$ and $(3, 0)$ (clear intercept points on axes)

Step2: Apply slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{0 - 2}{3 - 0} = -\frac{2}{3}$

Answer:

$\boldsymbol{-\frac{2}{3}}$ (corresponding to the last option)