2023 Fermat Problem 14

A line with a slope of 2 and a line with a slope of -4 each have a y-intercept of 6. The distance between the x-intercepts of these lines is

\textbf{(A)}\ 2\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ \frac{3}{2}\quad \textbf{(D)}\ \frac{5}{2}\quad \textbf{(E)}\ \frac{9}{2}

If there are no answer choices shown, enter a numerical answer.

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