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Question
Find the equation of the straight lines passing through the following pair of point :
(0, −a) and (b, 0)
Solution
(0, −a) and (b, 0)
\[\text { Here,} \left( x_1 , y_1 \right) \equiv \left( 0, - a \right) \]
\[\left( x_2 , y_2 \right) \equiv \left( b, 0 \right)\]
So, the equation of the line passing through the two points is
\[y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}\left( x - x_1 \right)\]
\[ \Rightarrow y + a = \frac{0 + a}{b - 0}\left( x - 0 \right)\]
\[ \Rightarrow ax - by = ab\]
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