The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

A 4:5 ratio means RT:TS = 4:5, so T is four-ninths of the way from R to S. The change from R(−5, 12) to S(4, −6) is (9, −18); four-ninths of that change is (4, −8). Adding this to R gives T = (−5 + 4, 12 − 8) = (−1, 4), choice B.

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