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Express the equation 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.

Guest Feb 6, 2018
 #1
avatar+87691 
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The slope of this line is   ( 7 - -3) / ( 1 - -2)   =  10/ 3

 

Using either point to write the equation, we have

 

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

 

3y  = 10 (x - 1)  + 21

 

3y  = 10x - 10 + 21

 

3y =  10x + 11     rearrange as

 

10x - 3y  =  -11

 

 

 

cool cool cool

CPhill  Feb 6, 2018

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