What is the y - cordanate of the point that divides the directed line segment from j to k into a ratio of 2:3

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kamielle1998 kamielle1998

15-06-2022
Mathematics

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What is the y - cordanate of the point that divides the directed line segment from j to k into a ratio of 2:3

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swapnalimalwadeVT swapnalimalwadeVT · Answer 1 · 2022-06-20T15:53:12+02:00

The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).

Let's call the point that divides the line segment point P.

Point P divides the line segment into a ratio of 2:3

What is the ratio of 2:3?

The ratio of 2:3 means we are dividing the line segment into 2+3=5 equal parts.

The horizontal distance between the two coordinates is 5.

The vertical distance between the two coordinates is 10.

Dividing both vertical and horizontal distance into five equal parts, we have a horizontal distance of 1 and a vertical distance of 2.

Every time we move one unit to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.

The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).

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