Slope is the steepness of a line. From my high school math days, I remember that slope equals rise over run. Think of the sloping line as the hypotenuse of a right triangle, and the base is sitting on the x-coordinate. Rise is the length of the vertical leg of the triangle, and run is the length of the horizontal leg. Do the division, rise divided by run, and you have a measure of the slope. You might have to pay careful attention to positives and negatives. If it's a straight line you don't have to worry about how long you make the base; the ratio (the answer to a division problem) will be the same.
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A visual tool that helps you find the slope of a line.
Because that's the definition of 'slope'.
slope
Use the definition of the slope, as (difference in y) / (difference in x).
The amount of change in y divided by the amount of change in x