SOLUTION: Find the value of k so that the line (2+k)x + (2-k)y=15 has slope 3/2

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Question 121238: Find the value of k so that the line (2+k)x + (2-k)y=15 has slope 3/2
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
(2 + k)x + (2 - k)y = 15
(2 - k)y = -(2 + k)x + 15
y = -(2 + k)x/(2 - k) + 15/(2 - k)
y = -(2 + k)x/(2 - k) + 15/(2 - k)
-(2 + k)/(2 - k) = 3/2
-2(2 + k) = 3(2 - k)
-4 - 2k = 6 - 3k
k = 10
Check:
(2 + k)x + (2 - k)y = 15
(2 + 10)x + (2 - 10)y = 15
12x - 8y = 15
-8y = -12x + 15
y = 12x/8 - 15/8
y = 3x/2 - 15/8
m = 3/2