well the rate of change is how much something changes in a matter of time, so it can be graphed in a slope because slopes can represent changes ( negative and positive, zero and undefined)
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The slope of a linear function is also a measure of how fast the function is increasing or decreasing. The only difference is that the slope of a straight line remains the same throughout the domain of the line.
Rate of change is essentially the same as the slope of a graph, that is change in y divided by change in x. If the graph is a straight-line, the slope can be easily calculated with the formula:Vertical change ÷ horizontal change = (y2 - y1) / (x2 - x1)
Rate of change is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another. Graphically, the rate of change is represented by the slope of a line.
yes, aka rise over run.
Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.