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A line passes through the points (-3,-5) and (6,1). This line is the graph of the equation Ax + By = C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A + B+ C.

 

(2, -8, and -4 are wrong...)

 Feb 23, 2020
 #1
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+1

The slope  of  this  line   =   

 

[ 1 - - 5  ]  /  [ 6  - - 3 ] =  6 / 9  =  2 / 3

 

So...using either point.......the equation of the  given line is

 

y  = ( 2/3) ( x - 6 )  +  1     multiply through by  3

 

3y  = 2 ( x - 6)  +  3

 

3y  = 2x  - 12  +  3

 

3y  =  2x  -  9      rearrange  as

 

2x  - 3y      =  9

 

A =  2       B   = -3     C   = 9

 

A  +  B  +   C    =    8

 

 

 

cool cool cool

 Feb 23, 2020
 #2
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+1

THANK YOU CPhill!!!!! (WOW! YOU ARE SO SMART!)

Guest Feb 23, 2020

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