Question

in what ratio does the point P(-4 , y) divide the line segment joining the points A(-6,10) and B(3,-8)? hence find the value of Y

Answer 1

Answer:

Step-by-step explanation:

The value of Y=6

Let the point (-4,6) be M and the ratio in which it divides the line segment be k:1

By section formula the coordinates of the point M are

(-6+3k/k+1,10-8k/k+1)

But M is (-4,6)

-6+3k/k+1=-4

7k=2

k=2/7

Therefore the ratio is 2:7

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Answer 2

(-6+3k/k+1,10-8k/k+1)

But M is (-4,6)

-6+3k/k+1=-4

7k=2

k=2/7

Therefore the ratio is 2:7