The endpoints of line segment R S are R negative 5 comma 12 and S 4 comma negative 6 What are the coordinates of point T , which divides line segment R S into a ratio of 4 to 5 ratio?

A ratio of 4:5 means T is 4/9 of the way from R to S. The change from R(-5, 12) to S(4, -6) is (9, -18), and 4/9 of that change is (4, -8). Adding this to R gives T = (-5 + 4, 12 - 8) = (-1, 4), which is choice A.

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