Find the inverse of the function. y = -5x + 8 Write your answer in the form ax + b. Simplify any fractions. y = ______

Swap x and y: To find the inverse of the function, we first swap x and y. This gives us the equation x = -5y + 8.Add and isolate y: Next, we need to solve for y. To do this, we add 5y to both sides of the equation to get x + 5y = 8.Divide by 5: Now, we subtract x from both sides to isolate the term with y. This gives us 5y = 8 - x.Solve for y: To solve for y, we divide both sides of the equation by 5. This results in y = (8 - x) / 5.Rewrite in ax + b form: We can rewrite the equation in the form ax + b by distributing the division across the terms in the numerator. This gives us y = -1/5x + 8/5.

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Find the inverse of the function. $\newline$ $y = -5x + 8$ $\newline$ Write your answer in the form $ax + b$ . Simplify any fractions. $\newline$ $y =$ ______

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Algebra 1

Find the inverse of a linear function

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Q. Find the inverse of the function.

\newline

y = -5x + 8

\newline

Write your answer in the form

ax + b

. Simplify any fractions.

\newline

y =

______

Swap $x$ and $y$ : To find the inverse of the function, we first swap $x$ and $y$ . This gives us the equation $x = -5y + 8$ .
Add and isolate $y$ : Next, we need to solve for $y$ . To do this, we add $5y$ to both sides of the equation to get $x + 5y = 8$ .
Divide by $5$ : Now, we subtract $x$ from both sides to isolate the term with $y$ . This gives us $5y = 8 - x$ .
Solve for y: To solve for y, we divide both sides of the equation by $5$ . This results in $y = \frac{8 - x}{5}$ .
Rewrite in $ax + b$ form: We can rewrite the equation in the form $ax + b$ by distributing the division across the terms in the numerator. This gives us $y = -\frac{1}{5}x + \frac{8}{5}$ .