The difference in y-values divided by the difference in x-values.
It's called rise over run.
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It rotated the line about the point of intersection with the y-axis.
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.
When something has a constant rate of change it means that it has a linear graph. The function can be written in the slope intercept form of y = mx + b.
slope
In the graph, the slope means that, what is the corresponding value of f while x vary, for example, f(x)=2x+3, when x=1, then f=5 etc