SOLUTION: Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5.      Log On


   

Question 703165: Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5.
Answer by lwsshak3(11628) About Me  (Show Source):
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Determine the constant, k, so that the graph of 4x+(k-1)y=k+1 will have a slope of 5
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equation of line: y=mx+b, m=slope, b=y-intercept
4x+(k-1)y=k+1
(k-1)y=-4x+(k+1)
y=-4x/(k-1)+(k+1)/(k-1)
slope=-4/(k-1)=5
5k-5=-4
5k=1
k=1/5
Check:
4x+(k-1)y=k+1
(k-1)y=-4x+(k+1)
y=-4x/(k-1)+(k+1)/(k-1)
y=-4x/(-4/5)+(6/5)/(-4/5)
y=5x-3/2