C1 Coordinate Geometry

C1 Coordinate Geometry

1. Equation of a line given gradient:

2. Equation of gradient:

   • A: (2,4) B: (6,8) m= (8-4)/(6-2), m=1

3. Parallel and Perpendicular:

   • Parallel Line - M1 = M2
     • y=4x+5 is parallel to y=4x-3
   • Perpendicular Line - M1 x M2 = -1
     • y=-4x+12 is perpendicular to y=1/4x+3

4. Equation for midpoint of a line:

   • A: (1,-1) B: (1,5) MP= (1+1)/2 , (-1+5)/2 = (1,2)

5. Equation for length of a line:

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