8 Intersection Of Straight Lines

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8 Intersection Of Straight Lines

  1. 1. Intersection of Straight Lines Solving simultaneous equations 8.
  2. 2. Intersection of Straight Lines Copy the following: The point of intersection of straight lines is the point where they cross: Point of Intersection To find the point of intersection we must solve the simultaneous equations created from the equations of the lines
  3. 3. Example 1 Find the coordinates of the vertices of the triangle whose sides have the equations: x = 2 x + y = 6 3x + 4y = 21 Solution : <ul><li>Take one pair of equations and </li></ul><ul><li>solve to find vertex 1 </li></ul>y = 4 (2 , 4) 2. Take a different pair of equations and solve to find vertex 2 All in form Ax + By = C
  4. 4. Example 1 Find the coordinates of the vertices of the triangle whose sides have the equations: x = 2 x + y = 6 3x + 4y = 21 Solution : 3. Take the final pair of equations and solve to find vertex 3 - - - Sub y = 3 into x + y = 6: 4. Make a statement Vertices of traingle are (2 , 4) and (3 , 3)
  5. 5. (2 , 4) (3 , 3)
  6. 6. Homework booklet, Exercise 8

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