Example 7 : In what ratio does the point (-4, 6) divide the line segment joining the
points A(-6, 10) and B(3, -8)?
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Step-by-step explanation:
Let a line AB
On point AB, there is a point C with coordinates (-4,6)
Coordinates of A are (-6,10)(x1 is -6 and b1 is 10) and that of B are (3,-8)(x2 is 3 and b2 is -8)
Let the ratio be k:1
So, x coordinate of C (x) = (kx2 + 1x1)/k+1 =
-4= (3k+(-6))/k+1
by cross multiplication,
-4k-4 = 3k - 6
2 = 7k
k is 2/7
Required ratio is 2/7
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