SAT Question aad7e1b9: Linear Functions answer and explanation with Desmos solution

Choice B is correct. The y-intercept of the graph of a function in the xy-plane is the point on the graph where $x=0$. It′s given that $f\left(x\right)=\frac{1}{10}x-2$. Substituting $0$ for $x$ in this equation yields $f\left(0\right)=\frac{1}{10}\left(0\right)-2$, or $f\left(0\right)=-2$. Since it′s given that $y=f\left(x\right)$, it follows that $y=-2$ when $x=0$. Therefore, the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane is $\left(0,-2\right)$.