MATHEMATiCS
Grade 10
MORE EXERCISES
The equation of a line.
  
        Question  1
     Determie the equation of the line that
     joins the given points :
  
    
     1.1  A(3 ; 2) and B(8 ; 12)                              [ A 1.1 ]
    
     1.2  C(2 ; 7) and D(5 ; 9)                                [ A 1.2 ]
    
     1.3  K(−8 ; −5) and L(−3 ; −1)                           [ A 1.3 ]
    
     1.4  P(−6 ; 7) and Q(1 ; −3)                              [ A 1.4 ]
    
     1.5  R(−3 ; −12) and S(1 ; −7)                           [ A 1.5 ]
    
     1.6  A(−6 ; −8) and B(3 ; −4)                            [ A 1.6 ]
  
  
        Question  2
    
     2.1  Determine the equation of the line that
           passes through point A(4 ; 9) and has
           a gradient of 3.                                   [ A 2.1 ]
    
     2.2  Determine the equation of the line
           that passes through the point B(−4 ; 7)
           and is parallel to the line having an
           equation of  y = −2x + 5.                    [ A 2.2 ]
    
     2.3  Determine the equation of the line that
           passes through the point C(−4 ; −5)
           and is parallel to the line having an
           equation of  3x − 4y − 6 = 0.              [ A 2.3 ]
    
     2.4  Determine the equation of the line that
           passes through the point D(3 ; −5)
           and is parallel to the line having an
           equation of  2x + 3y − 9 = 0               [ A 2.4 ]
    
     2.5  Determine the equation of the line that
           passes through the point E(4 ; 6)
           and is perpendicular to the line having
           an equation of   y = 4x − 3.               [ A 2.5 ]
    
     2.6  Determine the equation of the line that
           passes through the point F(−5 ; −8)
           and is perpendicular to the line having
           an equation of   3x + 2y − 9 = 0
                                                                        [ A 2.6 ]
  
  
  
  
  
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