Find the slope of the line that goes through the given points. \( (9,10) \) and \( (6,-2) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The slope is \( \square \). (Type an integer or a simplified fraction.) B. The slope is undefined.

To find the slope of the line that goes through the points \( (9, 10) \) and \( (6, -2) \), we can use the slope formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \] Plugging in the values from the points, we get: \[ \text{slope} = \frac{-2 - 10}{6 - 9} = \frac{-12}{-3} = 4 \] So the slope is \( 4 \). Now, let’s sprinkle in some context! Did you know that understanding slopes extends well beyond math class? In fields like engineering and physics, slope calculations help design everything from roller coasters to bridges, ensuring they aren’t just functional, but thrilling and safe! If you are curious about real-world applications, consider how architects use slope to calculate roof angles or drainage systems. They must be precise to prevent water pooling or structural weaknesses, demonstrating how math is literally the backbone of construction!