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To find the slope of a line, you can use the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two distinct points on the line. The slope (m) represents how steep the line is: positive for rising lines and negative for falling lines. Just plug in the coordinates of your chosen points, and voilà, you've got your slope! A common mistake when calculating slope is failing to accurately subtract the y-coordinates from each other first, or confusing which point to subtract from which. Make sure to follow the order of subtraction as stated in the formula to avoid errors. Additionally, remember that if \( x_2 = x_1 \), you have a vertical line, which means the slope is undefined. So watch those points carefully!
