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Question 1066797: Find the ratio in which the Y-axis divides the line segment joining the points (5,-6) and (-1,-4). Also find the point of intersection.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! slope of line = (-4 - (-6)) / (-1 - 5) = 2 / -6 = -1/3
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y = (-x/3) + b
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use one of the points (5, -6)
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-6 = (-5/3) + b
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b = -13/3
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y = (-x/3) - (13/3)
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this line intersects the y axis at (0, -13/3)
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distance(d) from point (5,-6) to point of intersection is square root(5^2 + (-5/3)^2) = (5 * square root(10)) / 3
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d from point (-1, -4) to point of intersection is square root(1^2 + (1/3)^2) = square root(10) / 3
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ratio is (square root(10) / 3) / ((5 * square root(10)) / 3) = (1 / 5)
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