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The slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]
That means we need two points --> (0, 4) and (6,2)
Now let us plug it into our equation: [tex]\frac{2-4}{6-0} =\frac{-2}{6} =-\frac{1}{3}[/tex]
Thus the slope is -1/3
Hope that helps!