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# Gradient & area under a graph

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Mathematics form 5 chapter 6
Gradient and area under a graph
Quantity represented by the gradient of the graph
Quantity represented by the area under a graph

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### Gradient & area under a graph

1. 1. Gradient & Area Under a Graph<br />Quantity Represented by the Gradient of a Graph<br />Quantity Represented by the Area Under a Graph<br />
2. 2. Quantity Represented by the Gradient of a Graph<br />Rate of change of the quantity on vertical axis with respect to the quantity on the horizontal axis<br />Distance (meter)<br />Time (second)<br />
3. 3. Formula to Calculate Gradient<br />Methode 1 =<br />Distance (meter)<br />Vertical distance<br />Horizontal distance<br />Time (second)<br />
4. 4. Formula to Calculate Gradient<br />Method 2 = <br />Distance (meter)<br />Q (x2,y2)<br />P (x1,y1)<br />Time (second)<br />
5. 5. Calculating the Speed from the Distance-Time Graph<br />When the gradient of a distance-time graph calculated,<br />You are calculating the speed<br />gradient of a distance-time graph = speed<br />
6. 6. Distance-Time Graph<br />Hanif walk from his office to canteen for some refreshment. After finish his drink, he get back to his office to continue his work.<br />The distance-time graph can be draw according to the story<br />
7. 7. Distance-Time Graph<br />Hanif travel from his office to canteen<br />Hanif take a break at canteen<br />Distance (meter)<br />Hanif go back to his office<br />Time (second)<br />
8. 8. Quantity Represented by the Area Under a Graph<br />Area under a graph is the product of quantity in Y-axis with X-axis.<br />Area under a speed-time graph = distance<br />
9. 9. Speed-Time Graph<br />Gradient is positive, it is accelerating<br />speed ms-1<br />Horizontal, constant speed<br />Negative gradient, decreasing speed<br />Time (s)<br />
10. 10. Good Luck<br />Enjoy your study<br />