The coordinates of the point on the line segment between A (3 , -5) and B (13 , -15) given that the point is 4/5 of the way from A to B are (11 , -13)
Step-by-step explanation:
If point (x , y) divides the line segment whose endpoints are and at the ratio from point , then
∵ A (3 , -5) and B (13 , -15) are the end points of a line segment
∴ = 3 and = 13
∴ = -5 and = -15
∵ (x , y) is located on the line segment at of the
way from A to B
- That means the distance from A to (x , y) is 4 units and the
distance from (x , y) to B is 1 unit [5 - 4 = 1]
∴ = 4 : 1
∵
∴
∴
∴ x = 11
The x-coordinate of the point is 11
∵
∴
∴
∴ y = -13
The y-coordinate of the point is -13
The coordinates of the point on the line segment between A (3 , -5) and B (13 , -15) given that the point is 4/5 of the way from A to B are (11 , -13)
Learn more:
You can learn more about the midpoint of a segment in brainly.com/question/10772249
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