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Complete the Table Below the Graph with the Help of the Following Graph. - Geometry

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)
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