You can put this solution on YOUR website! find the value of k so that the line contains (4, -3k) and (2k,5) has a slope of m = 5/2
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(5--3k)/(2k-4) = 5/2
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Cross-multiply to get::
2(5+3k) = 5(2k-4)
10+6k = 10k-20
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4k = 30
k = 7.5
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Cheers,
Stan H.