The slope of a line is rise over run. That is to say, how many units the line rises for every unit it travels laterally.
Rate can be the slope of a line when some variables are graphed. Ex: When graphing distance vs time for a moving object the slope of the line is the rate.
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 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 on the line.
The rate of change
as slope increases erosion rate increases (direct relationship)
if we are considering the ascending line as which increases as the x & y co-ordinate increases then it must have a posetive slope.
Rate can be the slope of a line when some variables are graphed. Ex: When graphing distance vs time for a moving object the slope of the line is the rate.
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 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
slope of a line
the rate of change on the line.
The rate of change
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.
When looking at equations from a calculus perspective, one will see that the slope of a line of the graph y = x^2 increases as x increases, whereas y = x has a universal slope over the entire real number line. If the slope increases as x increases, then it cannot be a straight line.
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.