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Find the inverse of the function.\newliney=−5x+4y = -5x + 4\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______

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Q. Find the inverse of the function.\newliney=−5x+4y = -5x + 4\newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
  1. Swap xx and yy: To find the inverse of the function, we first swap xx and yy. This gives us the equation x=−5y+4x = -5y + 4.
  2. Add and isolate terms: Next, we need to solve for yy. To do this, we'll start by adding 5y5y to both sides of the equation to get x+5y=4x + 5y = 4.
  3. Divide by 55: Now, we subtract xx from both sides to isolate the term with yy on one side: 5y=4−x5y = 4 - x.
  4. Solve for y: To solve for y, we divide both sides of the equation by 55, which gives us y=4−x5y = \frac{4 - x}{5}.
  5. Rewrite in ax+bax + b form: We can rewrite (4−x)/5(4 - x) / 5 as (−1/5)x+4/5(-1/5)x + 4/5 to match the form ax+bax + b.

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