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

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

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

The equation of a straight line is y = 3x -5. Find the equations of both a parallel line and a perpendicular line that go through the following points:

1)(6 , 5)2)(5 , -1)
3)(-6 , 5)4)(4 , 7)

Joke:
What is the best excuse for not doing your maths homework? - Pythagoras' birthday!