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Slope can be referred to by rate of change because it is the rate that x changes compared to y on a graph.
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoBecause that's how slope is defined (change of y-coordinates, divided by change of x-coordinates).
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Why is the slope called the rate of change?
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.
What is another term for slope?
Rate of Change
What if the rate of change is a measure of how fast the function is increasing or decreasing what does the slope of a linear?
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.
What is the constant rate of change This is a grade 7 question...?
what is "constant rate of change"I second that.-alixa constant rate of change is the m in Y=MxB In mathematics, a constant rate of change is called a slope. For linear functions, the slope would describe the curve of the function. The world "constant" in this context means the slope and therefore angle of the curve will not change it can also be called a coefficent
How do you determine the rate of change in a graph?
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)
Is rate of change the same as slope?
Yes, Rate of change is slope
What is the difference between a slope and rate of change?
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.
What is the difference between rate of change and slope?
Slope is blah. Rate of change is blah.
Why can't a vertical line be used to represent rate of change?
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
What is the relationship among proportional relationship lines rate of change and slope?
The rate of change is the same as the slope.
How is the steepness of the line is related to the rate of change?
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
When finding the slope of the trend line what does the slope mean about the data of the scatterplot?
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.
Why is the slope called the rate of change?
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.
What is another name for rate of change?
slope of a line
Why does a constant have a slope of 0?
"Slope" can be thought of as rate of change - and a constant doesn't change.
What does a shallow slope on a graph say about the rate of change?
A low rate of change.
Can a rate change and the slope of the line be different quantities?
The instantaneous rate change of the variable y with respect to x must be the slope of the line at the point represented by that instant. However, the rate of change of x, with respect to y will be different [it will be the x/y slope, not the y/x slope]. It will be the reciprocal of the slope of the line. Also, if you have a time-distance graph the slope is the rate of chage of distance, ie speed. But, there is also the rate of change of speed - the acceleration - which is not DIRECTLY related to the slope. It is the rate at which the slope changes! So the answer, in normal circumstances, is no: they are the same. But you can define situations where they can be different.
