Which shows how to find the y -coordinate of the point that will divide line segment C D into a ratio of 5 to 2 ratio using 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 ?

For a ratio of 5 to 2, use a = 5 and b = 2, so the fraction a/(a + b) is 5/7. The y-coordinates are y₁ = 1 and y₂ = 3, so substitute them into the formula: y = (5/7)(3 − 1) + 1. This is choice C; choices using 5/2 do not use the fraction of the total ratio.

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