(c) U(-3, -1), 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 5 . B. The slope of the line segment determined by the given points is undefined. Determine if the segment is vertical, is horizontal, slopes upward to the right, or slopes downward to the right. Choose the correct answer below. A. The segment is vertical. B. The segment slopes downward to the right. C. The segment slopes upward to the right. D. The segment is horizontal.

To find the slope of the line segment determined by the points U(-3, -1) and V(-7, -21), we use the formula for slope: \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the coordinates gives us: \[ \text{slope} = \frac{-21 - (-1)}{-7 - (-3)} = \frac{-21 + 1}{-7 + 3} = \frac{-20}{-4} = 5. \] So, A is correct: The slope of the line segment determined by the given points is 5. Since the slope is positive, it indicates that the segment slopes upward to the right. The correct answer is C: The segment slopes upward to the right. Fun Fact: Did you know that positive slopes represent a rise in graphical representation? It's like climbing a hill on a beautiful day; the further you go, the higher you get! Real-world application: Understanding slope is pivotal in various fields, from construction (determining roof angles) to economics (predicting trends). So next time you're pricing that slope for your new backyard deck, remember the math behind it can shape your project¡