SAT Question 5f3ee607: Two-variable Data Models And Scatterplots answer and explanation with Desmos solution

Choice B is correct. The equation representing a linear model can be written in the form $y=a+bx$, or $y=bx+a$, where $b$ is the slope of the graph of the model and $\left(0,a\right)$ is the y-intercept of the graph of the model. The scatterplot shows that as the x-values of the data points increase, the y-values of the data points decrease, which means the graph of an appropriate linear model has a negative slope. Therefore, $b<0$. The scatterplot also shows that the data points are close to the y-axis at a positive value of $y$. Therefore, the y-intercept of the graph of an appropriate linear model has a positive y-coordinate, which means $a>0$. Of the given choices, only choice B, $y=-1.9x+10.1$, has a negative value for $b$, the slope, and a positive value for $a$, the y-coordinate of the y-intercept.