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

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

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

The equation of a straight line is y = 6x -4. Find the equations of both a parallel line and a perpendicular line that go through the following points:

1)(-7 , 8)2)(7 , 0)
3)(-5 , 9)4)(6 , 8)

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