Step 1 :The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(\frac{y_2 - y_1}{x_2 - x_1}\). We can use this formula to calculate the slope of the line passing through the points \((6,0)\) and \((0,8)\).
Step 2 :The slope of the line passing through the points \((6,0)\) and \((0,8)\) is -1.3333333333333333, which is a negative number. Therefore, the line falls.
Step 3 :Final Answer: The slope is \(\boxed{-\frac{4}{3}}\). The line falls.