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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 $c<0$.

 Oct 12, 2023
 #1
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(1,7)   (2 , -3)

 

Slope  =  ( -3-7) / (2 -1)  =  -10 / 1   =  -10

 

Equation of line  using  slope and (1,7)

 

y = -10 ( x -1 )  + 7

y  = -10x + 10 + 7

10x + y  =   17

 

cool cool cool

 Oct 12, 2023

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