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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 $c<0$.

 

THX!!!sad

 Jul 9, 2019
 #1
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(1, 7)  and (-2, -3)

 

The slope of this line is     [  -3 - 7 ]            -10             10

                                         ________  =    ____  =       ____

                                          [ -2 - 1 ]             -3                3

 

So....using (1, 7)  the equation of the line is

 

y = (10/3) ( x - 1)  + 7       multiply through by 3

 

3y  = 10 (x - 1) + 21        simplify

 

3y  = 10x - 10 + 21

 

-10x + 3y  =  11         mutiply through by  -1

 

10x - 3y  = -11

 

 

cool cool cool

 Jul 9, 2019

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