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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.

 Apr 12, 2022
 #1
avatar+36 
+1

If the two lines are parallel, then they have the same slope. We can calculate the slope of the first equation to be -1/3 (remember, the slope in standard form is -A/B for Ax+By=C). Now that we know the slope, we can calculate the x and y intercepts using the point and extending it:

 

x-intercept = (-1,0)

y-intercept = (0,-1/3)

 

You can now plug this back into the equation and solve for A and B.

 

I hope this helped. Let me know if I did anything wrong!

 Apr 12, 2022
 #2
avatar+122390 
+1

THX, InhumanCalculator  !!!

 

Here's another approach :

 

https://web2.0calc.com/questions/halp_105#r1

 

cool cool cool

 Apr 12, 2022

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