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:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where:
[tex](x_1, y_1)[/tex] are the coordinates of the first point
[tex](x_2,y_2)[/tex] are the coordinates of the second point
The coordinates of the two yellow points are (approximately):
[tex](x_1,y_1)=(2.9, 4)[/tex]
[tex](x_2,y_2)=(6.2, 47)[/tex]
Substituting into the equation, we find the slope:
[tex]m=\frac{47-4}{6.2-2.9}=13.0 g/mL[/tex]
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:
[tex]\rho = \frac{m}{V}[/tex]
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 [tex]g/mL[/tex] (since here the mass is given in grams and the volume in mL).
Learn more about density here:
brainly.com/question/5055270
brainly.com/question/8441651
#LearnwithBrainly
