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]