Example 6 - Chapter 9 Class 11 Straight Lines

Last updated at April 16, 2024 by

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Example 6 Write the equation of the line through the points (1, 1) and (3, 5). We know that equation of line through two points (x1, y1) & (x2, y2) is y y1 = (y2 y1)/(x2 x1) (x x1) Since equation of the line through the points (1, 1) and (3, 5). Here, x1 = 1, y1 = 1, & x2 = 3 and y2 = 5 Putting values (y (-1)) = (5 ( 1))/(3 1) (x 1) y + 1 = (5 + 1)/2 (x 1) y + 1 = 6/2 (x 1) y + 1 = 3(x 1) y + 1 = 3x 3 y 3x + 1 3 = 0 y 3x 2 = 0 Hence the required equation is y 3x 2 = 0

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.