1) The slope of the trend line is approximately 13.0 g/mL
2) The slope represents the density of the substance
Explanation:
1)
The slope of a line can be calculated using the following equation:
where:
are the coordinates of the first point
are the coordinates of the second point
The coordinates of the two yellow points are (approximately):
Substituting into the equation, we find the slope:
2)
The slope of the line represents the density of the substance.
In fact, in this graph we have:
- The variable on the x- axis is the volume, V
- The variable on the y-axis is the mass, m
Density is defined as the ratio between mass and volume:
Which means, in this case, it is the ratio between the variable on the y-axis (the mass) and the variable on the x-axis (the volume): therefore, this corresponds to the slope of the line, and therefore the slope represents the density of the substance, measured in (since here the mass is given in grams and the volume in mL).
Learn more about density here:
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