SOLUTION: Determine the constant k so that the graph of 2(y + 3k) = 3k(x - 1) will have a slope of 6.

Algebra ->  Linear-equations -> SOLUTION: Determine the constant k so that the graph of 2(y + 3k) = 3k(x - 1) will have a slope of 6.      Log On


   

Question 179622: Determine the constant k so that the graph of 2(y + 3k) = 3k(x - 1) will have a slope of 6.
Answer by Mathtut(3670) About Me  (Show Source):
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2(y + 3k) = 3k(x - 1) will have a slope of 6
:
2y+6k=3kx-3k....distributed both sides
:
2y=3kx-9k subtracted 6k from both sides
:
y=%283%2F2%29kx-9%2F2k
:
In order for the slope to be 6
:
(3/2)k=6...multipy both sides by (2/3)
:
k=6(2/3)=4
:
if k = 4 then y=6x-18