Question

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

Answer 1

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