Answer:
[tex]S(x,y) = (4.4,4.4)[/tex]
Explanation:
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From the attached;
[tex]R = (2,2)[/tex]
[tex]T = (14,14)[/tex]
Required
Calculate S
RS/RT implies that RS:RT = 1:4
The line ration formula is as follows;
[tex]S(x,y) = (\frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n})[/tex]
In this case;
[tex]m = 1; n = 4[/tex]
[tex]x_1 = 2; y_1 = 2[/tex]
[tex]x_2 = 14; y_2= 14[/tex]
Substitute
[tex]S(x,y) = (\frac{1 * 14 + 4 * 2}{1+4}, \frac{1 * 14 + 4 * 2}{1+4})[/tex]
[tex]S(x,y) = (\frac{14 + 8}{5}, \frac{14 + 8}{5})[/tex]
[tex]S(x,y) = (\frac{22}{5}, \frac{22}{5})[/tex]
[tex]S(x,y) = (4.4,4.4)[/tex]
Hence, the coordinates of point S is [tex]S(x,y) = (4.4,4.4)[/tex]
