11 X1 T05 02 Gradient

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11 X1 T05 02 Gradient - Presentation Transcript

The Slope (Gradient)
The Slope (Gradient)
The Slope (Gradient) y x
The Slope (Gradient) l y x
The Slope (Gradient) l y x
The Slope (Gradient) l y x
The Slope (Gradient) l y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
The Slope (Gradient) l L y x
Two lines are parallel iff they have the same slope
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
Two lines are parallel iff they have the same slope Two lines are perpendicular iff their slopes are the negative inverse of each other e.g. A , B , C and D are the points (1,1), (2,3), (3,2) and ( a ,4) Find a such that;
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram.
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram. y x
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram. 3 5 y x
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram. 3 5 3 5 y x
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram. 3 5 3 5 y x
(ii) A (4,0), B (1,5) and C (–3,–5) are three vertices of a parallelogram ABCD . Find the coordinates of D , the fourth vertex of the parallelogram. 3 5 3 5 y x
To prove three points ( A , B , C) are collinear;
To prove three points ( A , B , C) are collinear;
To prove three points ( A , B , C) are collinear;
To prove three points ( A , B , C) are collinear;
To prove three points ( A , B , C) are collinear; Exercise 5B; 2ace, 3bd, 4 ii, iv , 5ae, 8, 9a, 11ac, 13, 15, 18, 19, 20, 24*