how does the slope relate to the density?

Question

thanks :)

Answer 1

Density is an expression of mass per volume unit. Thus if you have the volume V, and the density D, you can find the the mass M of that volume by M = D*V looks like a linear relationship to me. (If you make a graph of mass to volume, you may notice that D is related by being a slope).

I'm not sure I would call this a true "slope" though... when you graph the relationship between too different units, its quite easy to distort the graph and make things look as you want them. like making the sales increase per year look huge when its only a 2% increase, or make the presidents public approval "nosedive" when it's only a 5% decrease..

Answer 2

which slope?

if you make measurements of a substance, and measure the mass and the volume of several different sized samples

and then you plot those measurements as points on a graph with the y axis being the mass and the x axis being the volume

then the slope of the line through those graphed points, is a measurement of the density of the substance

so, in that case, the slope is the density

there are many slopes in this world
most of them do not relate to the density of anything