SOLUTION: I have been working on this math problem and I was wondering if anyone could please help me? Please and Thank you!! I would deeply appreciate it! The slope of a line find the v

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Question 157937This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been working on this math problem and I was wondering if anyone could please help me? Please and Thank you!! I would deeply appreciate it!
The slope of a line
find the value of k so that the given line has slope m.
(k+3)x-3y=1, m=k
This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation


Subtract from both sides


Rearrange the terms.


Divide both sides by -3 to isolate y.


Break up the fraction


Simplify


So the equation is now in slope intercept form where the slope is . Since we want the slope to be , simply plug in


Start with the given expression


Plug in


Multiply both sides by 3


Subtract from both sides.


Combine like terms on the left side.


Divide both sides by to isolate .


----------------------------------------------------------------------

Answer:

So the answer is which in decimal form is .

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