Question

Point S is located on RT so that RS/ST = 1/4. What are the coordinates of point S

Answer 1

`S(x,y) = (4.4,4.4)`

Step-by-step explanation:

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From the attached;

`R = (2,2)`

`T = (14,14)`

Required

Calculate S

RS/RT implies that RS:RT = 1:4

The line ration formula is as follows;

`S(x,y) = ((mx_2 + nx_1)/(m+n), (my_2 + ny_1)/(m+n))`

In this case;

`m = 1; n = 4`

`x_1 = 2; y_1 = 2`

`x_2 = 14; y_2= 14`

Substitute

`S(x,y) = ((1 * 14 + 4 * 2)/(1+4), (1 * 14 + 4 * 2)/(1+4))`

`S(x,y) = ((14 + 8)/(5), (14 + 8)/(5))`

`S(x,y) = ((22)/(5), (22)/(5))`

`S(x,y) = (4.4,4.4)`

Hence, the coordinates of point S is
`S(x,y) = (4.4,4.4)`