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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
avatar+119758 
+4

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

 

 

cool cool cool

 
 Jun 7, 2021
edited by CPhill  Jun 7, 2021
edited by CPhill  Jun 7, 2021
 #2
avatar+17 
0

what the...

 
FailedBeats  Jun 7, 2021
 #3
avatar+23 
+1

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

 
Technoblade  Jun 7, 2021
edited by Technoblade  Jun 7, 2021
 #4
avatar+1744 
+1

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
 #5
avatar+119758 
+3

Here is  the  graph  of  both lines  :

 

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

 

 

cool cool cool

 
 Jun 7, 2021
 #6
avatar
0

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

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

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