Technically, a non-zero y-intercept can't exist in such a graph. If you were looking at such a graph, it was probably because they cut it short, and were just showing part of it.
When the vertical axis represents "number of things" and the horizontal represents "volume of the thing"---slope is change in vertical over change in horizontal, so units of the slope would be "number/volume", which is density.
Volume = mass / Density Mass = Volume * Density Density = Mass / Volume
density = mass / volume Solving for mass: mass = density x volume Solving for volume: volume = mass / density
Density = mass/volume Mass = (density) x (volume) Volume = mass/density
mass / volume = density
Technically, a non-zero y-intercept can't exist in such a graph. If you were looking at such a graph, it was probably because they cut it short, and were just showing part of it.
The intercept on a graph of mass vs. volume should be zero, as this point represents zero mass and zero volume. This makes sense because with no mass and no volume, there should be no measurements of mass either.
The slope of a mass vs volume graph represents the density of the material being measured. Density is a measure of how much mass is contained in a given volume of a material. The steeper the slope, the higher the density of the material.
mass and volume measurements for any sample liquid should fall along the graph line because liquids have a constant density. Density is mass over volume. Mass equals density which is a constant time volume.
To graph mass vs volume, plot mass on the y-axis and volume on the x-axis. Each data point will represent a specific object or substance, showing how mass changes with different volumes. The relationship between mass and volume can help determine density, which is a key property of the material being examined.
Because the relation is of proportionality.
Density is the slope of the line. density = mass/volume = constant. Since mass and volume have a linear relationship, then that constant is also the slope of the line on a graph of a comparison of mass to volume ratios.
If the volume is tripled while the density remains constant, the mass would also triple. This relationship is based on the formula: ( \text{Density} = \frac{\text{Mass}}{\text{Volume}} ). Triple the volume would result in triple the mass if density stays the same.
When the vertical axis represents "number of things" and the horizontal represents "volume of the thing"---slope is change in vertical over change in horizontal, so units of the slope would be "number/volume", which is density.
The density of a liquid can be determined by calculating the slope of the graph of mass vs volume. The density is equal to the slope of the graph, as density is mass divided by volume. By finding the slope of the graph, you can determine the density of the liquid being studied.
There is no general conversion, since they measure different things (volume versus mass). You need to know the density of a specific material to do the conversion for that material, and apply the formula: mass = volume x density