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

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

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

The equation of a straight line is y = 4x -5. Find the equations of both a parallel line and a perpendicular line that go through the following points:

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

Joke:
After attending the Sunday School, Little Adam refuses to work out 23 - 14, saying he does not want to live in debt!