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Question: For which of the following graphs slope of the line is - 2?



A ) Graph 1
B ) Graph 3
C ) Graph 4
D ) Graph 2

Steps to derive

1 Slope of the line passing through (x1, y1) and (x2, y2) is y2-y1x2-x1.

2 Set of points on the line in graph 1 are (- 2, 0) and (0, - 5).

3 Slope = - 5 - 00 - (- 2) = - 52

4 Set of points on the line in graph 1 are (3, 0) and (0, - 3).

5 Slope = - 3 - 00 - 3 = 1

6 Set of points on the line in graph 3 are (- 2, 0) and (0, - 4).

7 Slope = - 4 - 00 - (- 2) = - 2

8 Set of points on the line in graph 4 are (2, 0) and (0, - 4).

9 Slope = - 4 - 00 - 2 = 2

10 So, for Graph 3 the slope of the line is - 2.



Hence the right answer is Option B

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