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Ksenya-84 [330]
3 years ago
12

What are the coordinates of the point on the directed line segment from (-6, -3)(−6,−3) to (-1, 7)(−1,7) that partitions the seg

ment into a ratio of 3 to 2?
Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

(-3,3).

Step-by-step explanation:

The given points are (-6,-3) and (-1,7).

We need to find the coordinates of the point, which divides the line segment in 3:2.

Section formula: If a point divides a line in m:n, then the coordinates of point are

\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Using this formula, we get

\left(\dfrac{3(-1)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)

\left(\dfrac{-3-12}{5},\dfrac{21-6}{5}\right)

\left(\dfrac{-15}{5},\dfrac{15}{5}\right)

\left(-3,3\right)

Therefore, the coordinates of required point are (-3,3).

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