SOLUTION: Find the value of b so that the graph of bx+5y=8 and has a slope of 4.

Algebra ->  Graphs -> SOLUTION: Find the value of b so that the graph of bx+5y=8 and has a slope of 4.      Log On


   



Question 154496: Find the value of b so that the graph of bx+5y=8 and has a slope of 4.
Found 2 solutions by BrittanyM, kevwill:
Answer by BrittanyM(80) About Me  (Show Source):
You can put this solution on YOUR website!
We know that the equation for any linear line can be modeled with the formula,

y = mx + b

And we are given

bx + 5y = 8

But with a little bit of work, we can put this into the same form and begin solving for b.

bx + 5y = 8
5y = -bx + 8
y+=+%28-bx%2F5%29+%2B+%288%2F5%29

Now that it's in a familiar form, we can begin solving for b. For the line equation model, we know that the slope is m, which in our equation is %28-b%2F5%29, so we just have to ask ourselves, "What number divided by five equals four?"

b%2F5 = 4
b = 20

Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
The original solver started out right, but got a little careless with her signs.
bx+%2B+5y+=+8
5y+=+-bx+%2B+8
5y%2F5+=+-bx%2F5+%2B+8%2F5
y+=+-%28b%2F5%29%2Ax+%2B+8%2F5
Given that we need to find b such that the slope is 4, we have
-%28b%2F5%29+=+4
-%28b%2F5%29%2A5+=+4%2A5
-b+=+20
b+=+-20
So the correct answer is b = -20, not b=20 as stated by the original solver.