D. The segment is horizontal. (c) \( \mathrm{U}(-3,-1), \mathrm{V}(-7,-21) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the line segment determined by the given points is B. The slope of the line segment determined by the given points is undefined.

To determine the slope of the line segment between points \( U(-3, -1) \) and \( V(-7, -21) \), we can use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the values: \( m = \frac{-21 - (-1)}{-7 - (-3)} = \frac{-21 + 1}{-7 + 3} = \frac{-20}{-4} = 5 \). So the slope of the line segment is 5, which means it is not horizontal. Thus, the correct choice is: A. The slope of the line segment determined by the given points is 5. Choose option A, and now you know the slope! Now that you know the slope is 5, think about its real-world applications! For example, in engineering, understanding slope helps in designing roads and ensuring they have the right incline for safety. In economics, slope signifies change rates, helping to visualize concepts like supply and demand relationships on a graph. Understanding slope isn’t just for math class; it helps in analyzing trends and making informed decisions in various fields!