The coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4) is [tex](\frac{-17}{5} ,\frac{2}{5} )[/tex]
Explanation :
the coordinates of point Q that is 2/3 of the way along the directed segment from R(-7,-2) to S(2,4)
Apply section formula to find coordinates of point Q
[tex](\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )[/tex]
Ratio m:n is 2:3 and point R is (x1,y1) , point S is (x2,y2)
Substitute all the values inside the formula
[tex](\frac{2(2)+3(-7)}{2+3} , \frac{2(4)+3(-2)}{2+3} )\\\\(\frac{-17}{5} ,\frac{2}{5} )[/tex]
The coordinates of point Q is [tex](\frac{-17}{5} ,\frac{2}{5} )[/tex]
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