What is the slope of the line passing through the following points:  (-3/2 , 5/6) ; (1/3 , -1/12) ?

slope $m = - \frac{1}{2}$

Explanation:

Let ${P}_{1} \left({x}_{1} , {y}_{1}\right) = \left(- \frac{3}{2} , \frac{5}{6}\right)$
Let ${P}_{2} \left({x}_{2} , {y}_{2}\right) = \left(\frac{1}{3} , - \frac{1}{12}\right)$

The formula to compute slope

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

$m = \frac{- \frac{1}{12} - \frac{5}{6}}{\frac{1}{3} - - \frac{3}{2}}$

After simplification

$m = - \frac{1}{2}$

God bless....I hope the explanation is useful.