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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.

 Jun 26, 2021
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x+ 3y = - 5    slope = -1/3

 

slope intercept form of line with given point and slope = -1/3

y = -1/3 x + b

-2 = -1/3(-7) + b

-6/3 -7/3 = b

-13/3 = b

 

 

y = -1/3 x -13/3    mutiply through by 3

3y = -x -13           re-arrange

3y+x = - 13           need 3 on the right side .... multiply through by  - 3/13

-9/13 y - 3/13 x = 3         you can take it from here !

 Jun 26, 2021

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