The Slope of a Line

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In this section, we will learn how to find the slope of a line. Slope is a very important concept in the realm of mathematics. When we think about slope, we are thinking about steepness. One can use the pitch of a roof or the grade on an interstate as real world examples of slope. There are many ways to calculate the slope of a line. One such way is to generate two ordered pair solutions to the line and plug these points (ordered pairs) into the slope formula. The slope formula is the ratio of the change in y values to the change in x values. This is generally referred to as the rise over the run. Specifically, we will label one of our points as: (x1,y1) and the other as: (x2,y2). Once we have this, we can plug into our slope formula: $$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$
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