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Cartesian Plane, SMB-018

A straight line passes through points `A(-2,-2)` and `B(1,5)` .

Find the equation of `AB` and express in form  `y=mx+c`.  (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

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`y=7/3x+8/3`

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`text{Line goes through}\ (-2,-2) and (1,5).`

`text(Using the gradient formula):`

`m` `=(y_2-y_1)/(x_2-x_1)`  
  `=(5-(-2))/(1-(-2))`  
  `=7/3`  

 
`text{Find equation through}\ (1,5), m=7/3:`

`y-y_1` `=m(x-x_1)`  
`y-5` `=7/3(x-1)`  
`y-5` `=7/3x-7/3`  
`y` `=7/3x+8/3`  

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

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