Find the slope of the line that passes through \( (1,12) \) and \( (9,9) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer. Submit

To find the slope of the line passing through the points \( (1,12) \) and \( (9,9) \), we use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (1, 12) \) and \( (x_2, y_2) = (9, 9) \). Plugging in the values: \[ m = \frac{9 - 12}{9 - 1} = \frac{-3}{8} \] So, the slope of the line is \( \frac{-3}{8} \). Now, let's add some additional knowledge! The idea of slope isn’t just a dry math concept; in history, it has helped map out everything from the tallest mountains to urban planning! Imagine early surveyors using basic slope calculations to figure out the best places for roads—talk about setting a solid foundation for the future! In the real world, the slope is crucial for any type of construction, especially with building ramps or roads. A slope that’s too steep can be dangerous, while one that’s too gentle might take too much space. Understanding slope ensures both safety and efficiency in daily design challenges!