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For a given input value x, the function f outputs a value y to satisfy the following equation. -5x-4y=-8 Write a formula for f(x) in terms of x. f(x)=

For a given input value xx, the function ff outputs a value yy to satisfy the following equation.\newline−5x−4y=−8-5x-4y=-8\newlineWrite a formula for f(x)f(x) in terms of xx.\newlinef(x)=f(x)=

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Q. For a given input value xx, the function ff outputs a value yy to satisfy the following equation.\newline−5x−4y=−8-5x-4y=-8\newlineWrite a formula for f(x)f(x) in terms of xx.\newlinef(x)=f(x)=
  1. Isolate variable y: Isolate the variable y in the equation −5x−4y=−8-5x - 4y = -8 to solve for f(x) in terms of x.\newlineWe add 5x5x to both sides of the equation to get −4y=5x−8-4y = 5x - 8.
  2. Divide by ext{−4-4}: Divide both sides of the equation by ext{−4-4} to solve for ext{y}.\newlineDoing this, we get ext{y} = \frac{(55 ext{x} - 88)}{ ext{−4-4}}.
  3. Simplify equation for y: Simplify the equation for y.\newlineWe can simplify the equation to y=−5x4+2y = -\frac{5x}{4} + 2, since dividing both terms by −4-4 gives us y=−54⋅x+84y = -\frac{5}{4} \cdot x + \frac{8}{4}.
  4. Write function f(x): Write the function f(x) in terms of x.\newlineSince y is the output of the function f for the input x, we can write f(x)=−54x+2f(x) = -\frac{5}{4}x + 2.

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