We all know the midpoint formula (I hope). For reference, here it is:
M_x=(x_2+x_1)/2, M_y=(x_2+x_1)/2
This is very useful for finding the midpoint, but I think it's limited. When I was in 10th grade, I made the following formula:
M_x=(x_2-x_1)*0.5+x_1, M_y=(y_2-y_1)*0.5+y_1
As it is, this does exactly the same thing - it finds the midpoint. However, you can alter the 0.5 to have it return the point x% of the way from point 1 to point 2. 0.1 would be 10%, 0.9 would be 90%, etc.
My question is, why isn't this taught in schools? I can't be the first person to have figured this out.

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