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In what ratio does the $y$ -axis divide the segment joining (−3, 5) and (6, −1)?

Competition practiceGeometry

A1 : 2
B2 : 1
C1 : 3
D3 : 5

Step-by-Step Solution

On the

y

-axis

x = 0

. With ratio

k : 1, \frac{6 k - 3}{k + 1} = 0

, so

k = \frac{1}{2}

: the ratio is 1 : 2.

Answer: A) 1 : 2

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