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A straight line L1 has a gradient ˉ½ and passes through point P (−1, 3). Another line L2 passes through the points Q (1, -3) and R (4, 5). Find.

  1. The equation of L1. 
  2. The gradient of L2.
  3. The equation of L2. 
  4. The equation of a line passing through a point S (0, 5) and is perpendicular to L2. 
  5. The equation of a line through R parallel to L1.

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  1. y−3 =½
    x+1
    y−3 =−½x −½
    y=−½x + 5/2
  2. g= 5−−3
         4−1
       =8/3
  3. y−5 = 8
    x−4    3
    y−5 = 8/3x − 32/3 
    y = 8/3x − 32/3 +5
    y = 8/3x − 17/3
  4. y−5 × − 3
     x          8
    y = −3/8x + 5
  5. y−5= −½
    x−4
    y−5 =−½x +2
    y=−½x + 7

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