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:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic