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Cartesian Plane, SMB-019

A straight line passes through points `Q(3,-2)` and `R(-1,4)` .

Find the equation of `QR` and express in general form.  (3 marks)

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`2y+3x-5=0`

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`text{Line goes through}\ (3,-2) and (-1,4).`

`text(Using the gradient formula):`

`m` `=(y_2-y_1)/(x_2-x_1)`  
  `=(-2-4)/(3-(-1))`  
  `=-3/2`  

 
`text{Find equation through}\ (3,-2), m=-3/2:`

`y-y_1` `=m(x-x_1)`  
`y-(-2)` `=-3/2(x-3)`  
`2(y+2)` `=-3(x-3)`  
`2y+4` `=-3x+9`  
`2y+3x-5` `=0`  

Filed Under: Cartesian Plane Tagged With: num-title-ct-pathc, smc-4422-30-Point-gradient

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