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A line through the points (2, -9) and (j, -17) is parallel to the line 2x + 3y = 21. What is the value of j?

 Aug 5, 2022
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We have the form  Ax + By  = C

 

The slope of the given line =    -A / B  =  -2/3

 

So...a parallel line  will  have the same  slope

 

(-17 - - 9)  / ( j  - 2)  =   -2/3   

 

-8 / ( j - 2)   = -2/3     cross-multiply

 

-8 (3) =  -2 ( j - 2)

 

-24  =  -2j + 4

 

-24 - 4  =  -2j

 

-28  = -2j

 

j = -28/-2   =   14

 

 

cool cool cool

 Aug 5, 2022

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