Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is `\frac{4}{5}` of

Question

2 years ago

15

the way from T to S?

1 answer:

vlabodo [156] · Answer 1 · 2023-07-27T23:37:51+03:00

The coordinates of the point that is 4/5 of the way from T to S is (2,10)

<h3>How to determine the coordinates of the point?</h3>

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

$(x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)$

This gives

$(x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1 * -2)$

Evaluate

$(x,y) = \frac{1}{5} * (10 , 50)$

This gives

(x,y) = (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

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