Gradient of graph
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The gradient of a line measures how steep the line is, and can be positive, negative, or zero. The gradient is calculated by taking the change in y over the change in x between two points on the line. If the line is vertical, its gradient cannot be determined. Examples are provided to demonstrate calculating the gradient using points on a line and the formula for change in y over change in x.
Gradient of graph
- 2. Gradients of straight-line graphs •The gradient of a line is a measure of how steep the line is. •The gradient of a line can be positive, negative or zero if, moving from left to right, we have an upwards slope a horizontal line a downwards slope y y y x x x Positive gradient Zero gradient Negative gradient •If a line is vertical its gradient cannot by specified.
- 3. Finding the gradient y Formula: change in y The gradient = change in x y2 – y1 y2 – y1 the gradient = x2 – x1 x2 – x1 x 0
- 4. What is gradient of this graph? Formula: (1,4) change in y The gradient = change in x Calculation: m=(-1-4) (-4-1) = -5 (-4,-1) (1,-1) -5 =1 Total: 3/3 marks
- 5. Find the gradient of this gradient. s Formula: change in y The gradient = change in x m = 7-2 10-0 = 1 2 -1 = 0.5cms cm Total: 3/3 marks
- 6. THANK YOU