Digital SAT Math Practice Question #2194
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Desmos / Ratio Shortcut: For $A_1x + B_1y = C_1$ and $A_2x + B_2y = C_2$, equal slopes mean $\frac{A_1}{A_2} = \frac{B_1}{B_2}$.
Ratio of coefficients must match for parallel lines: $\frac{4}{2} = \frac{-6}{-k} \implies 2 = \frac{6}{k} \implies k = 3$. With $k=3$, constant ratio $12/5 \ne 2$, so no solution....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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