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Question

Match the lines given on the left side with their corresponding slopes on the right..
Line passes through the pointsSlope of the linep.) (1, 6) and (-4, 2)1.) 0q.) (5, 9) and (2, 9)2.) -3r.) (-2, -1) and (-3, 2)3.)45s.) (4,0) and (3,3)4.)53



A

p - 3      q - 1      r - 2       s - 4

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B

p - 3      q - 1      r - 2       s - 2

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C

p - 1      q - 3      r - 1       s - 2

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D

p - 1      q - 3      r - 2       s - 2

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Solution

The correct option is C

p - 3      q - 1      r - 2       s - 2


By definition slope of the line is m=tanθ where θ is angle made by line from +ve x-axis
If A(x1,y1) and B(x2,y2), where x1x2 are the points on a straight line, then the slope m of the line is given by m=y2y1x2x1

1. A(1,6) and B(-4,2)
Slope of AB =2641=45=45

2. A(5,9) and B(2,9)
Slope of the line =9925=03=0

3. A(-2,-1) and B(-3,2)
Slope of the line =2+13+2=31=3

4. A(4,0) and B(3,3)
Slope of the line =3034=3


Mathematics

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