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They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
The slope of a distance vs. time graph is a measure of the rate of change of the distance over time. It tells you the speed at which the distance is changing. If the slope is positive it means the distance is increasing with time. If the slope is negative it means the distance is decreasing with time. If the slope is zero it means the distance is not changing with time. Positive slope: distance is increasing with time. Negative slope: distance is decreasing with time. Zero slope: distance is not changing with time.The slope of the graph can be used to calculate the average speed of an object over a certain period of time. By taking the change in distance and dividing it by the change in time the average speed can be calculated.
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.
yes, change in y over change in x equals slope
the slope of a line = the Change in Y divided by the Change in X
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.
The average slope is the ratio of the change between two points
It does not relate to it
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
If you are talking about a position vs time graph, the slope gives the average velocity. Velocity is displacement/change in time. (Change in position is displacement). Position is on the y axis and time is on the x axis. The slope = (y2-y1)/(x2-x1) = change in position/change in time = average velocity.
slope of the hill
the change in elevation in feet divided by the distance in miles
A speed graph has a slope that is greater than zero that is shown on an object accelerating. Graphs that show straight means constant speed and is kept at a negative slope.
In general, they don't.
The tangent at a point on the position-time graph represents the instantaneous velocity. 1. The tangent is the instantaneous slope. 2. Rather than "average" velocity, the slope gives you "instantaneous" velocity. The average of the instantaneous gives you average velocity.
Yes, Rate of change is slope
yes, aka rise over run.