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Quick Definition: The slope can be simply defined as the "steepness" of a line. A more advanced student might define it as the "rate of change" of a function, or "change in Y divided by change in X". If you're just learning the concept, think of it as a measure of how steep a line is.
Example: Here's a graph of the equation Y = 2X (red) and the equation Y=0.5*X (blue). Note how the red line goes up 2 points for every 1 point is goes to the right. The blue line goes up 1/2 a point for every point it goes right.
Slope-related Math Lessons: