Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $(6,0)$ and $(0,8)$
Select the correct choice below and fill in the answer box within your choice.
A. The slope is $\square$. (Type an integer or a fraction.)
B. The slope is undefined.
Answer
Final Answer: The slope is \(\boxed{-\frac{4}{3}}\). The line falls.
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.
