– 4m₁ – 4m₂ = 3m₁ – 6m₂
i.e., 7m₁ = 2m₂
m_i/m₂-2/7
i.e., m₁ : m₂ = 2 : 7
We should verify that the ratio satisfies the y-coordinate also.
-8m₂+10m₂m₂+m₂=-8m₁m₂/+10/m₁m₂=1 (Dividing throughout by m₂)
-8x2/7+10/2/7+1=-16/7+10/9/7=-16+70/9=54/9=6
Therefore, the point (-4, 6) divides the line segment joining the points A(-6, 10) and B (3, -8) in the ratio 2 : 7.

THINK -DICUSS

The line joining points A(6, 9) and B(-6, -9) is given
(a) In which ratio does the origin divide AB ? And what is it called for AB?
(b) In which ratio does the point P(2, 3) divide AB ?
(c) In which ratio does the point Q(-2, -3) divide AB?
(d) In to how many equal parts is AB divided by P and Q?
(e) What do we call P and Q for AB ?

page no:179

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