SAT Question e9129a5c: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Choice C is correct. A line in the xy-plane that passes through the points $(x_1,y_1)$ and $(x_2,y_2)$ has a slope of $\frac{y_2-y_1}{x_2-x_1}$. The line of best fit shown passes through the points with approximate coordinates $(0,2.5)$ and $(10,4.7)$. It follows that the slope of the line of best fit is approximately $\frac{4.7-2.5}{10-0}$, which is equivalent to $\frac{2.2}{10}$, or $0.22$. Therefore, of the given choices, $0.22$ is closest to the slope of the line of best fit.