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The slope is the ratio of rise over the run. The rise is the change in the vertical distance.

The run is the change in the horizontal distance.

So the slope is the ratio of two changes, horizontal divided by vertical.

Q: Meaning of the slope as a rate of change?

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Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.

Slope is blah. Rate of change is blah.

The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.

slope of a line

Rate of Change

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Yes, Rate of change is slope

Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.

Slope is blah. Rate of change is blah.

the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible

The rate of change is the same as the slope.

the steepness of the line is the slope of the line which is the rate of change; the steeper the slope, the faster the rate of change

The slope of the trend line is the rate of change of the data. It is the ratio of the change of the dependent variable to the rate of change of the independent variable. Slope represents the value of the correlation.

Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.

On a graph, the slope does tell you the rate of change of y with respect to x. If the slope is steep, that means that there is a high rate of change of y with respect to x. If the slope is shallow, then y is not changing that rapidly with respect to x.

slope of a line

"Slope" can be thought of as rate of change - and a constant doesn't change.

A low rate of change.