What are the coordinates of the point on the directed line segment from (-10, -2) (10,−10) that partitions the segment into a ratio of 3:5? Your final answers may be fully reduced fractions or decimals.

The answer to your question is (-5/2, -5)

Step-by-step explanation:

Data

A (-10, -2)

B (10, -10)

ratio 3/5

Formula

X = (x₁ + rx₂)/(1 + r)

Y = (y₁ + ry₂)/(1 + r)

Process

1.- Calculate X

x₁ = -10     x₂ = 10

X = (-10 + 3/5(10))/ (1 + 3/5)

X = (-10 + 30/5) / 8/5

X = -4/8/5

X = -5/2

2.- Calculate Y

y₁ = -2           y₂ = -10

Y = (-2 + (3/5)(-10))/(1 + 3/5)

Y = (-2 - 30/5) / 8/5

Y = -8/8/5

Y = -5

3.- The coordinates of the point are (-5/2, -5)