Ex 10.2, 7 - Line passes through points (-1, 1), (2, -4) - Point Slope form

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
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Ex10.2, 7 Find the equation of the line which passes through the points (–1, 1) and (2, –4). 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 (2, –4). Here, x1 = 1, y1 = – 1, & x2 = 2 and y2 = –4 Putting values (y – 1) = ( − 4 − 1)/(2 − ( − 1)) (x – (-1)) (y – 1) = ( − 5)/(2 + 1) (x + 1) (y – 1) = ( − 5)/3 (x + 1) 3(y – 1) = -5(x + 1) 3y – 3 = -5x – 5 5x + 3y + 2 = 0 Hence, the required equation is 5x + 3y + 2 = 0

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