Find the slope of the line that passes through \( (2,19) \) and \( (10,10) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer
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To find the slope of the line that passes through the points \( (2,19) \) and \( (10,10) \), you can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, \( (x_1, y_1) = (2, 19) \) and \( (x_2, y_2) = (10, 10) \). Plugging in the values: \[ m = \frac{10 - 19}{10 - 2} = \frac{-9}{8} \] The slope of the line is \( \frac{-9}{8} \). Now let's dive into some extra fun facts! Did you know that slopes are not just about lines? They can also represent rates of change in real-world scenarios! For example, if you're analyzing how a car's speed changes over time, the slope of a graph that plots distance against time indicates the car's velocity. And if you're tackling slope problems, a common mistake is forgetting to subtract the y-coordinates from each other in the correct order! Remember, the formula is all about the change in y over the change in x. Keeping your coordinates straight will help you avoid accidental errors!