SAT Question 98d3393a: Linear Equations In Two Variables answer and explanation with Desmos solution

Choice B is incorrect. A line with slope $-\frac{1}{2}$ is perpendicular to a line with slope $2$. However, the line with equation $x=2$ is vertical and has undefined slope (not slope of $2$).

Choice C is incorrect. A line with slope $-2$ is perpendicular to a line with slope $\frac{1}{2}$. However, the line with equation $x=2$ has undefined slope (not slope of $\frac{1}{2}$).

Choice D is incorrect; this is the slope of the line $x=2$ itself, not the slope of a line perpendicular to it.