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Grade 10 Using coordinate Geometry

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Exercise1 a. Find the distance between A and B.

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Exercise1 b. Find the midpoint of AB.

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Exercise1 a. Find the gradient of the interval joining A and B.

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Distance AB Midpoint of A and B Gradient of the line AB

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Exercise2 a. What is the equation of AB ? OC is perpendicular to AB The y-intercept of AB is: The Gradient of AB is: So, the equation of AB is: y =

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Exercise2 a. What is the gradient of OC ? OC is perpendicular to AB The equation of OC is: y = b. What is the equation of OC ?

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Exercise3 a. Find the coordinates of E, the midpoint of AB.

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Exercise3 b. Find the length of OE.

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Exercise3 c. Find the length of EA.

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Exercise3 d. What can you say about the distance of E from O, A and B ?

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Find the equation of the line with: 1. m = 3, b = -2 2. m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.

Find the equation of the line with: 1. m = 3, b = -2 2. m = -2, b = 5 3. m = 2 (1, 4) 4. m = -3 (-2, 8) y = 3x – 2 y = -2x + 5 y = -3x + 2 y = 2x + 2.

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