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# Help would be greatly appreciated.

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

Jun 7, 2021

#1
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Slope  of  given line    =   -B/A =   -1/3

Equation of    line  with  this slope  passing through  (-7,2)

y = (-1/3) (x - - 7)  + 2

y = (-1/3)(x + 7)  + 2

y = (-1/3)x  - 7/3  + 2

y  = (-1/3)x   -  1/3         multiply through by  - 9

-9y  =  3x  + 3                rewrite as

-3x  - 9y  =  3

B = -3     A  =  -9

B - A    =

-3 - (-9)  =   6

Jun 7, 2021
edited by CPhill  Jun 7, 2021
edited by CPhill  Jun 7, 2021
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what the...

FailedBeats  Jun 7, 2021
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Thank you so much for taking time out of your day to help me with this, but that was not the right answer

edited by Technoblade  Jun 7, 2021
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A cool trick is that if the line is parallel, the Ax + By is the same. (I think)

So I don't think we even need to find the line.

CPhill is completly right, but I assume that your question wanted it simplified.

-3x  - 9y  =  3

x + 3y = -1

1 - 3 = 2

=^._.^=

catmg  Jun 7, 2021
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Here is  the  graph  of  both lines  :

https://www.desmos.com/calculator/pkprlucfwy

Jun 7, 2021
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Thank you, I apologize for assuming you were wrong. I'm logged out.

Guest Jun 7, 2021
edited by Guest  Jun 7, 2021