Find the slope of the line that passes through \( (10,9) \) and \( (1,11) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

To find the slope of the line that passes through the points \( (10,9) \) and \( (1,11) \), we can use the slope formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, we let \( (x_1, y_1) = (10, 9) \) and \( (x_2, y_2) = (1, 11) \). Plugging in these values: \[ m = \frac{11 - 9}{1 - 10} = \frac{2}{-9} = -\frac{2}{9} \] So, the slope of the line is \( -\frac{2}{9} \). The slope of a line tells you how steep the line is and the direction in which it goes. A negative slope means the line will fall as it moves from left to right. You would find slopes in many places in real life – like when analyzing road grades or even when figuring out how steep a skateboard ramp is! Slope gives you the rise over run, which translates to how much you go up or down versus how far you go sideways.