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To find the gradient of lines perpendicular to each other.

Chapter 5 - Coordinate Geometry. Objectives. To find the gradient of lines perpendicular to each other. Finding the Midpoint. 2. 1. 3. 4. 5. 6. 8. 9. 7. (We’re going to use this later). Starter. These lines are perpendicular. PERPENDICULAR MEANS AT RIGHT ANGLES.

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To find the gradient of lines perpendicular to each other.

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  1. Chapter 5 - Coordinate Geometry Objectives To find the gradient of lines perpendicular to each other.

  2. Finding the Midpoint 2 1 3 4 5 6 8 9 7 (We’re going to use this later) Starter

  3. These lines are perpendicular

  4. PERPENDICULAR MEANS AT RIGHT ANGLES

  5. What is each gradient? 1 2 Gradient = ½ 2 Gradient = -2 1

  6. What is each gradient? Gradient = 3 1 3 3 1 Gradient = -1/3

  7. THE GRADIENT OF A PERPENDICULAR LINE IS THE NEGATIVE RECIPROCAL OF THE OTHER

  8. What is the gradient of the lines perpendicular to these? y = 2x + 1 m = 2 -1/m= -1/2 y = 2 + 4x m = 4 -1/m= -1/4 y = 3x + 2 m = 3 -1/m= -1/3 y + 2x = 2 m = -2 -1/m= 1/2 2y = 3x - 2 m = 3/2 -1/m= -2/3 5y + 2x = 3 m = -2/5 -1/m= 5/2

  9. Write down an equation of a line perpendicular to these: y = 2x + 1 y = 2 + 4x y = 3x + 2 y + 2x = 2 2y = 3x - 2 5y + 2x = 3

  10. THE PRODUCT OF GRADIENTS OF PERPENDICULAR LINES IS EQUAL TO -1 Exercise 5E Question 1

  11. Two points A(1,2) and B(-3,6) are joined to make the line AB. Find the equation of the perpendicular bisector of AB

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