18. Find the ratio in which the y-axis divides the line segment joining the points (4, -6) and (-7,-4).
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Given points ;
- A(4,-6)
- B(-7,-4)
Given that y-axis divides the line AB.
Let it be in the ratio m:n
We know that on the x axis the x-coordinate = 0
Thu by using section formula ;
- Thu by using section formula ;x = (mx2 + nx1)/(m+n)
- 0 = -7m + 4n/m+n
- 0 = -7m + 4n
- 7m = 4n
- m/n = 4/7
Thus y-axis divides the line in the ratio m:n = 4:7
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