Which number line shows the correct placement of -200, 75, and -150?

Which is a true statement comparing the graphs of x^2/6^2-y^2/8^2 = 1 and x^2/8^2-y^2/6^2 the foci of both graphs are the same points. the lengths of both transverse axes are the same. the directrices of = 1 are horizontal while the directrices of = 1 are vertical. the vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

Ade and abc are similar. which best explains why the slope of the line between points a and d is the same as the slope between points a and b?

Which one is the correct answer, and why?