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Question
Find k, if B(k, –5), C (1, 2) and slope of the line is 7.
Solution
Slope of the line BC is 7.
Slope of BC =
\[\frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - \left( - 5 \right)}{1 - k} = 7\]
\[ \Rightarrow \frac{7}{1 - k} = 7\]
\[ \Rightarrow 1 - k = 1\]
\[ \Rightarrow k = 0\]
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