You have two ways you could label the axes. Depending on how you choose to do it,
the slope of the graph could be pounds per year, or it could be years per pound.
The slope of a line is the same thing as the rate of change between two variables in a linear relationship.
Yes. Stairs represent slope. In fact, today in math class we were discussing slope and similar products.
The slope of a mass vs weight graph represents the acceleration due to gravity. This value is consistent and is approximately 9.81 m/s^2 on Earth's surface.
The slope of a velocity-time graph represents acceleration.
gvf
Rise over run
(-6,-5) (4,4)
It is not defined.
The answer depends on what information you have.
Differential calculus is concerned with finding the slope of a curve at different points. Integral calculus is concerned with finding the area under a curve.
You can say that the correlation is positive if and only if the slope is positive. The correlation is zero if and only if the slope is zero. And the correlation is negative if and only if the slope is negative. On the other hand, slope does change when your measurement units change, while correlation does not change. (For example, the correlation between height in inches and weight in pounds will be the same as the correlation between height in centimeters and weight in kilograms, as long as both sets of measurements were taken on the same observations.)
The slope of a velocity-time graph represents acceleration.