Example 9 Write the equation of the lines for which tan θ = 1/2 , where θ is the inclination of the line and (i) y-intercept is − 3/2 We know that equation of line is y = mx + c where m is slope of a line & c is y-intercept Here m = tan θ = 1/2 & c = y-intercept = – 3/2 . Putting values y = 1/2 x + ((−3)/2) y = 1/2 x − 3/2 y = (𝑥 − 3)/2 2y = x – 3 2y – x + 3 = 0 Hence, the required equation is 2y – x + 3 = 0

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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