A straight line $L_1$ has the equation $y = k(x - 1)$, where k is some real number. The straight line $L_1$ intersects another straight line $L_2$ at the point (5, 8).
If $L_2$ has a slope of 1, which of the following is definitely FALSE?

The distance between the y-intercepts of the two lines is 6

The distance from the origin to one of the lines is $\dfrac{3}{\sqrt{2}}$

The line $L_1$ passes through the point (1, 0)

The distance between the x-intercepts of the two lines is 4

The distance from the origin to one of the lines is $\dfrac{2}{\sqrt{5}}$