SAT Question ca452900: Linear Equations In Two Variables answer and explanation with Desmos solution

The graph of a line in the xy-plane can be represented by the equation $y=mx+b$, where $m$ is the slope of the line and $b$ is the y-coordinate of the y-intercept. The given equation can be written as $y=\left(\frac{5}{13}\right)x-23$. Therefore, the slope of the graph of this equation in the xy-plane is $\frac{5}{13}$. Note that 5/13, .3846, 0.384, and 0.385 are examples of ways to enter a correct answer.