Question

In what ratio does the point (-4, 6) divide the line segment joining the points A (-6, 10) and B(3, -8)?

Answer 1

Answer:

sorry it is tough as I'm in junior class.......

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Answer 2

The point (-4,6) divides the line segment in the ratio 2: 7.

Step-by-step explanation:

Given: A (-6, 10) and B(3, -8). The point C(-4, 6) divide the line segment AB.

Solution:

d(A, C) = √ (x2 − x1)² + (y2 − y1)² = √(-4+6)² + (6-10)² = √ 4 +16 = √20 = 2√5

d(B, C) = √ (-4-3)² + (6+8)² = √ 49 + 196 = √245 = 7√5

Ratio of AC : BC = 2√5 :  7√5 = 2: 7.

The point (-4,6) divides the line segment in the ratio 2: 7.