+0  
 
0
52
1
avatar

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.

 

Thank you for helping me!

 Aug 11, 2020
 #1
avatar+30921 
+3

We have Ax + By = 3   (1)

 

If this passes through (7, -2) then  7A - 2B = 3   (2)

 

We can rearrange equation (1) in the form  y = -(A/B)x + 3/B  The slope of this equation is -A/B

The equation x + 3y = -5 can be rearranged as  y = -(1/3)x -5/3  the slope of which is -1/3

 

For the two lines to be parallel the slopes must be the same, hence  -A/B = -1/3   (3)

 

Now you have two equations ((2) and (3)) that can be solved for A and B.

 

Can you take it from here?

 Aug 12, 2020

14 Online Users