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) About Me  (Show Source):
You can put this solution on YOUR website!

%28k%2B3%29x-3y=1 Start with the given equation


-3y=1-%28k%2B3%29x Subtract %28k%2B3%29x from both sides


-3y=-%28k%2B3%29x%2B1 Rearrange the terms.


-3y=%28-%28k%2B3%29x%2B1%29%2F%28-3%29 Divide both sides by -3 to isolate y.


y=%28-%28k%2B3%29x%29%2F%28-3%29%2B%281%29%2F%28-3%29 Break up the fraction


y=%28%28k%2B3%29%2F%283%29%29x-1%2F3 Simplify


So the equation is now in slope intercept form where the slope is m=%28k%2B3%29%2F%283%29. Since we want the slope to be m=k, simply plug in m=k


m=%28k%2B3%29%2F%283%29 Start with the given expression


k=%28k%2B3%29%2F%283%29 Plug in m=k


3k=k%2B3 Multiply both sides by 3


3k-k=3 Subtract k from both sides.


2k=3 Combine like terms on the left side.


k=%283%29%2F%282%29 Divide both sides by 2 to isolate k.


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Answer:

So the answer is k=3%2F2 which in decimal form is k=1.5.