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Example 8 - Equation of line through (1, -1) and (3, 5) - Point Slope form

  1. Chapter 10 Class 11 Straight Lines
  2. Serial order wise
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Example 8 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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