Vivax Solutions

A Passport to Digital Realm

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

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

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

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

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

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