Imagine that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent?
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The slope of a straight line is the rise divided by the run. In this case, the "rise" is the distance y in feet, and the "run" is the time x in hours. This means the the slope is
which is given in units of feet per hour.
The slope in this line represents the speed of the person walking in feet per hour.
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