Answer 1

Let m₁ be the slope of the line passing through (3, y)  and (2, 7) and m₂ be the slope of the line passing through (−1, 4) and (0, 6). 

\[\therefore m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - y}{2 - 3} = \frac{7 - y}{- 1} = y - 7\] and \[m_2 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 4}{0 + 1} = \frac{2}{1} = 2\]

For both the lines to be parallel, we must have,

\[m_1 = m_2 \]

\[ \Rightarrow y - 7 = 2 \]

\[ \Rightarrow y = 9\]

Hence, the value of y is 9.