Segment cd has endpoints (-4, 3) and (8,-1). find the coordinates of the point that divides the line segment
directed from c to d in the ratio of 2: 3.
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The coordinates of the division point are (0.8 , 1.4)

Step-by-step explanation:

* Lets explain how to find the point of division

- If point (x , y) divide the line whose endpoints are

 and at the ratio from point

 , then and

* Lets solve the problem

∵ The endpoint of CD are (-4 , 3) and (8 , -1)

∵ Point (x , y) divides CD directed from C to D at ratio 2 : 3

- By using the rule above

∵ Point (-4 , 3) is

∵ Point (8 , -1) is

∵ and

∴

∴

∵ The x-coordinate of the point is 4/5 = 0.8

∵ The y-coordinate of the point is 7/5 = 1.4

∴ The coordinates of the division point are (0.8 , 1.4)

40 is the final : )

range is infinite on both x and y axis positive and negative

step-by-step explanation: