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A line passes through (a, b) and (p, q). If the slope of the line is n, show that q – b = n(p – a).

Asked by Topperlearning User 28th September 2017, 8:56 AM
Answered by Expert

begin mathsize 12px style Slope space of space line space joining space the space points space straight P space left parenthesis straight a comma space straight b right parenthesis space and space straight B space left parenthesis straight p comma space straight q right parenthesis space equals space fraction numerator straight q minus straight p over denominator straight p minus straight a end fraction end style

But slope of line joining the points P and Q = n      ....(given)
Þ  q – b = n(p – a)
Answered by Expert 28th September 2017, 10:56 AM
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