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Cartesian Plane, SMB-017

Albert drew a straight line through points `P` and `Q` as shown on the graph below.

Find the equation of Albert's line and express in general form.  (3 marks)

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`3y-5x+2=0`

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

`text(Using the gradient formula):`

`m` `=(y_2-y_1)/(x_2-x_1)`  
  `=(1-(-4))/(1-(-2))`  
  `=5/3`  

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

`y-y_1` `=m(x-x_1)`  
`y-1` `=5/3(x-1)`  
`3y-3` `=5x-5`  
`3y-5x+2` `=0`