What is the y-cordinate of the point that divides the directed line segment from j to k into the ratio of 2: 3

We can represent the segment parametrically:

When t=0 we get P=J, when t=1 we get P=K.   So when P is between J and K,

We want the point P so that

PJ/PL=2/3

That's

That means 2/5ths along the way from J to K, which we could have gotten immediately as 2/(2+3).

We're only after the y coordinate,

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