The value of y for which the line through A(3, y) and B(2, 7) is parallel to the line through C(-1, 4) and D(0, 6) is .

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Solution

The correct option is D 9
Let the slope of AB be $m_{1}$ and the slope of CD be $m_{2}$ .
As AB || CD,
$\Rightarrow m_{1} = m_{2} \Rightarrow \frac{y - 7}{3 - 2} = \frac{6 - 4}{0 - (- 1)} \Rightarrow y - 7 = 2 \Rightarrow y = 9$

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