Points kinda work like numbers. We just want a weighted average of the two points. We'll be closest to the point with the bigger weight, so all we really need to write is
[tex]H = \frac 1 6 B + \frac 5 6 Z[/tex]
The weights must add to one, that's where the denominator 6=5+1 comes from.
Plugging in the numbers:
[tex]H = \frac 1 6(3,-1) + \frac 5 6 (12,5) = \left( \frac 1 6 (3) + \frac 5 6(12), \frac 1 6 (-1) + \frac 5 6 (5) \right)[/tex]
[tex]H =\left( \dfrac{21}{2}, 4 \right)[/tex]
If you like it please Brainliest me; I'm close to something here.
