SOLUTION: I have been struggling on this problem and I can't figure out the answer. I was wondering if anyone could please help me? I would deeply appreciate it!! Please and Thank you!!!

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Question 157935This question is from textbook Algebra and Trigonometry Structure and Method book 2
: I have been struggling on this problem and I can't figure out the answer. I was wondering if anyone could please help me? I would deeply appreciate it!! Please and Thank you!!!
The slope of a line
Find the value of k so that the given line has slope m.
kx-3y=7, m=2 This question is from textbook Algebra and Trigonometry Structure and Method book 2

Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
The slope of a line
Find the value of k so that the given line has slope m.
kx-3y=7, m=2
.
Start with the provided equation:
kx-3y=7
Manipulate it into the "slope-intercept" form:
y = mx + b
where
m is slope
b is the y-intercept at (0,b)
.
kx-3y=7
-3y = -kx+7
y = (-k/3)x - 7/3
.
Now, we know the slope is -k/3
The problem tells us that m=2 so because
m = -k/3
substitute in our value of m:
2 = -k/3
6 = -k
-6 = k