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Mathematics Worksheets
- Straight line graphs(hard) -

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Derive the equation of the straight line in the form of y = mx + c and then sketch the graph. The gradient and the coordinates of a point is given:

1)m = 2 ; (2 , -1)2)m = -3 ; (-1 , -1)
3)m = 4 ; (3 , 3)4)m = -1 ; (6 , 5)
5)m = -2 ; (-1 , 2)6)m = -5 ; (-2 , -3)
7)m = -3 ; (-2 , 6)8)m = 5 ; (0 , 7)
9)m = 5 ; (-2 , -1)10)m = -1 ; (2 , 4)
11)m = 5 ; (-1 , -3)12)m = -3 ; (-2 , -6)
13)m = 2 ; (2 , 6)14)m = 5 ; (-2 , 5)
15)m = 5 ; (-2 , 1)16)m = 1 ; (-1 , 7)
17)m = 4 ; (0 , -3)18)m = 5 ; (-4 , -5)
19)m = 2 ; (2 , -3)20)m = 3 ; (-5 , -6)

Derive the equation of the straight line in the form of y = mx + c, from the coordinates of the two points:

1)(-5 , 5) , (-7 , -2)2)(4 , 6) , (-7 , 3)
3)(6 , 6) , (-6 , 9)4)(1 , 5) , (-7 , 3)
5)(-2 , 7) , (-6 , 9)6)(-5 , 5) , (-6 , 1)
7)(-5 , 6) , (-5 , 7)8)(6 , 6) , (-5 , 2)
9)(-1 , 8) , (-5 , -1)10)(-5 , 4) , (-5 , 8)
11)(0 , 5) , (-7 , 7)12)(5 , 8) , (-6 , 3)
13)(-5 , 6) , (-7 , 9)14)(6 , 7) , (-7 , 0)
15)(-4 , 4) , (-7 , 3)16)(-5 , 4) , (-7 , 1)
17)(-5 , 4) , (-7 , 8)18)(2 , 5) , (-5 , 6)
19)(-5 , 8) , (-7 , 2)20)(2 , 5) , (-6 , 3)

The equation of a straight line is y = 5x -6. Find the equations of both a parallel line and a perpendicular line that go through the following points:

1)(1 , 4)2)(3 , -2)
3)(3 , 9)4)(6 , 8)

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