Vivax Solutions

A Passport to Intelligent Realm

Mathematics Worksheets - Straight line graphs(hard)


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

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

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

The equation of a straight line is y = 2x -2. Find the equations of both a parallel line and a perpendicular line that go through the following points:

1)(-3 , 5)2)(5 , 7)
3)(4 , 9)4)(4 , 9)
Joke:
After attending the Sunday School, Little Adam refuses to work out 23 - 14, saying he does not want to live in debt!