FERMAT 2023 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

Answer Choices
A. 6
B. 2
C. \frac{3}{2}
D. \frac{5}{2}
E. \frac{9}{2}