Fermat 2023 Part B - Question 14, CEMC UWaterloo

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Difficulty: 4

This problem is tagged with fermat, fermat23, highschool.

(Fermat 2023, Part B, Question 14, CEMC - UWaterloo)

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

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