Using the slope formula the rate of change of the volume of the gas sample with respect to the temperature is [tex]\frac{1}{3}[/tex].
What is the slope?
A rising or falling surface is one that has one end or side that is higher than the other.
It is given that from the graph, the given line passes through the points (20,26) and (50,36).
Knows the slope of the line which passes through the points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex].
Therefore, the rate of change of the volume of the gas sample with respect to the temperature
[tex]& \Rightarrow \text{Slope}=\frac{36-26}{50-20} \\ & \Rightarrow \text{Slope}=\frac{10}{30} \\ & \Rightarrow \text{Slope}=\frac{1}{3} \\[/tex]
Therefore, using the slope formula the rate of change of the volume of the gas sample with respect to the temperature is [tex]\frac{1}{3}[/tex].
Learn more about finding the slopes of the lines, here
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