Points r, s, and t are plotted on a number line. the coordinate of point r is –6. points s and t are the same distance from point r.

what could be the coordinates of s and t?

a.
s = 0, t = 6

b.
s = –4, t = –2

c.
s = –9, t = –12

d.
s = –10, t = –2

D. S=-10, T=-2 is the answer.

While we check all the given options, we will see that no option other then option D gives us the equal value of difference between R and S, and R and T; which doesn't makes the given value of S and T in option(s) A, B and C equidistant from R as given in the question. Thus, it gives us option D as the answer.

Mathematically-

Considering the option D only,
 
 R - S = -6 - (-10) = -6 + 10 = 4
 and, T - R = -2 - (-6) = -2 + 6 = 4
 thus, R - S = T - R