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Find the value of B-A if the graph of Ax + By = 3 passes through the point (-7,-2) and is parallel to the graph of x + 3y = -5.

 Jan 20, 2021
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x + 3y =   -5

3y = - x - 5

y = (-1/3)x - 5/3         the slope of the parallel line =  -1/3

 

So....since this line passes through  (-7,-2)  we have that

 

y= (-1/3) ( x -  - 7)   - 2         simplify

 

y = (-1/3) ( x + 7)  - 2

 

y= (-1/3)x  -  7/3    - 2

 

y = (-1/3)x  -  13/3        mutiply through bu 3

 

3y =  -x   - 13       put in standard form

 

1x + 3y   = -13       multiply through by  -3/13

 

-(3/13)x  - 9/13y  = 3

 

A = -(3/13)   B = (-9/13)

 

B - A  = 

 

-9/13  -  (-3/13)  =

 

-6/13

 

See the graph here  :  https://www.desmos.com/calculator/54dowo0bf4

 

 

cool cool cool

 Jan 20, 2021

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