SAT Question 6f6dfe3e: Linear Equations In Two Variables answer and explanation with Desmos solution

Choice A is correct. The slope, $m$, of a line in the xy-plane can be found using two points on the line, $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$, and the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$. Based on the given table, the line representing the relationship between $x$ and $y$ in the xy-plane passes through the points $\left(-6,n+184\right)$, $\left(-3,n+92\right)$, and $\left(0,n\right)$, where $n$ is a constant. Substituting two of these points, $\left(-3,n+92\right)$ and $\left(0,n\right)$, for $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$, respectively, in the slope formula yields $m=\frac{n-\left(n+92\right)}{0-\left(-3\right)}$, which is equivalent to $m=\frac{n-n-92}{0+3}$, or $m=-\frac{92}{3}$. Therefore, the slope of the line that represents this relationship in the xy-plane is $-\frac{92}{3}$.