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Find the equation of line joining (3, 4) and (5, 8).(a) y = 2x-1(b) y = 2x+2(c) y = 2x+1(d) y = 2x-2I got this question in semester exam.My question is based upon General Equation of a Line in chapter Straight Lines of Mathematics – Class 11

Answer»

Right CHOICE is (d) y = 2x-2

The best I can explain: We know, equation of LINE joining two POINTS (x1, y1) and (x2, y2) is given by

\(\FRAC{y-y1}{y2-y1} = \frac{x-x1}{x2-x1}\)

So, equation will be \(\frac{y-4}{8-4} = \frac{x-3}{5-3}\)

=>\(\frac{y-4}{4} = \frac{x-3}{2}\)

=>y-4 = 2x-6

=>y = 2x-2



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