SOLUTION: I cannot figure out how to work this problem: Find the value of k so that the slope of the line is 3/2. (2+k)x+(2-k)y=15 . Any help would be greatly appriciated.

Algebra ->  Coordinate-system -> SOLUTION: I cannot figure out how to work this problem: Find the value of k so that the slope of the line is 3/2. (2+k)x+(2-k)y=15 . Any help would be greatly appriciated.       Log On


   

Question 12545: I cannot figure out how to work this problem: Find the value of k so that the slope of the line is 3/2. (2+k)x+(2-k)y=15 . Any help would be greatly appriciated.
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
given (2+k)x+(2-k)y=15 we can rewrite it as
(2-k)y = -(2+k)x + 15
--> y+=+-%28%282%2Bk%29%2F%282-k%29%29x+%2B+15%2F%282-k%29

in this form, the coefficient of the x-term is the gradient, so

-%28%282%2Bk%29%2F%282-k%29%29 is 3/2

-%28%282%2Bk%29%2F%282-k%29%29+=+3%2F2
-2%282%2Bk%29+=+3%282-k%29
-4-2k = 6-3k
-4+k = 6
k = 10

jon.