Complete the table below the graph with the help of the following graph.
Sr. No. | First point | Second point | Co-ordinates of first point (x1 , y1) | Co-ordinates of second point (x2 , y2) | `(y_2 - y_2)/(x_2 - x_2)` |
1 | C | E | (1, 0) | (3,4) | `4/2=2` |
2 | A | B | (-1,-4) | (0,-2) | `2/1 = 2` |
3 | B | D | (0,-2) | (2,2) | `4/2=2` |
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Solution
From the graph
Sr. No. | First point | Second point | Co-ordinates of first point (x1 , y1) | Co-ordinates of second point (x2 , y2) | `(y_2 - y_2)/(x_2 - x_2)` |
1 | C | E | (1, 0) | (3,4) | |
2 | A | B | (-1,-4) | (0,-2) | |
3 | B | D | (0,-2) | (2,2) |
∴ For any two points (x1, y1) and (x2, y2) on a line graph, the ratio `(y_2 - y_1)/(x_2-x_1)`
is always constant.
Concept: The Mid-point of a Line Segment (Mid-point Formula)
Is there an error in this question or solution?
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