SOLUTION: This one's been bugging me. Find a linear function that satisfies both of the given conditions: f(-1) = 1 + f(2) and f(3) = 4 * f(1)

Algebra ->  Linear-equations -> SOLUTION: This one's been bugging me. Find a linear function that satisfies both of the given conditions: f(-1) = 1 + f(2) and f(3) = 4 * f(1)      Log On


   

Question 319916: This one's been bugging me.
Find a linear function that satisfies both of the given conditions:
f(-1) = 1 + f(2) and f(3) = 4 * f(1)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
LINEAR ___ y = mx + b

"f(-1) = 1 + f(2)" ___ m(-1) + b = 1 + m(2) + b

subtracting b ___ -m = 1 + 2m ___ -1 = 3m ___ -1/3 = m

"f(3) = 4 * f(1)" ___ (-1/3)(3) + b = 4[(-1/3)(1) + b] ___ -1 + b = -4/3 + 4b

1/3 = 3b ___ 1/9 = b

y = (-1/3)x + 1/9 ___ 3x + 9y = 1