This will emphasize the 'rise over run' expression of slope. In other words, the change in y over the change in x. This show the run, or change in x values, even if the slope is a whole number. A slope of 3 becomes 3/1 showing the change in y-values to be 3 and the change in x-values to be 1.
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Horizontal lines always have a slope of 0.
For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.
The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
Not always because it can also be negative
For two lines to be parallel they must have the same slope. A line parallel to a line with slope -2 would have a slope of -2.