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Express the equation of the line passing through points $(1,7)$ and $(-2,-3)$ in the form $ax+by=c$, where $a$, $b$ and $c$ are integers, the greatest common divisor of $a$ and $b$ is 1, and $c<0$.

 Dec 3, 2017
 #1
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 $(1,7)$ and $(-2,-3)$ 

 

Slope  =   [ -3 - 7 ] / [ - 2 - 1]  =  -10 / - 3   =  10 / 3

 

Equation of the line passing through these points  =

 

y =  (10/3) (x - 1) + 7

 

y = (10/3)x - 10/3 + 7

 

y= (10/3)x  +11/3    multiply through by 3

 

3y = 10x + 11    rearrange as

 

10x - 3y  = -11

 

 

cool cool cool

 Dec 3, 2017

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