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 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 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.
The rate of change is the same as the slope.
A low 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
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
Yes, Rate of change is slope
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.
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.
Slope is blah. Rate of change is blah.
The rate of change is the same as the slope.
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.