What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6? PLS HELP

The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.

If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:

Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:

O = (-1, -7)

The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.

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The coordinates of the point X:

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

Rise = y₂ - y₁

Run = x₂ - x₁

1 : 6 ratio means the point X lies at

Thus,

rise for X

run for X

Thus, coordinates of X will be:

Therefore, we conclude that:

The coordinates of the point X:

i think 1: 2

step-by-step explanation: