Respuesta :

Answer:

[tex](\frac{37}{11},\frac{77}{11}  )[/tex]

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

[tex](\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )[/tex]

where [tex](x1,y1),(x2,y2)[/tex] are the inital and final points.

[tex](x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)[/tex]

also m:n=6:5 ,

by substituting all the values we get,

[tex](\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )[/tex]

[tex](\frac{37}{11},\frac{77}{11}  )[/tex]

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