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Verified Answer :

zexius

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\) = \(\frac{3 - 6}{12 - 4}\) = \(\frac{-3}{8}\).

The slope is \(\frac{-3}{8}\)x.

Slope = change in y / change in x.

Between (4, 6) and (12, 3) represents (x₁, y₁) and (x₂, y₂): 

x₁ = 4, y₁ = 6, x₂ = 12, y₂ = 3

Slope = (y₂ - y₁) / (x₂ - x₁) =  (3 - 6) / (12 - 4) =  -3 / 8

Slope = -3/8

I hope this helps.