Line segment line segment X Y has endpoints X negative 10 comma negative 1 and Y 5 comma 15 To find the y -coordinate of the point that divides the directed line segment in a ratio of 5 to 3 ratio, the formula y is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 was used to find that y is equal to open paren the fraction with numerator 5 and denominator 5 plus 3 close paren times open paren 15 minus negative 1 close paren plus negative 1 What is the y -coordinate of the point that divides line segment x y into a ratio of 5 to 3 ratio?
Substitute the endpoint y-coordinates, y₁ = −1 and y₂ = 15, into the given formula. The difference is 15 − (−1) = 16, so y = (5/8)(16) + (−1) = 10 − 1 = 9. The y-coordinate is 9, choice A.
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