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Rewrite the following equation in slope-intercept form. $\newline$ $y - 4 = \frac{1}{9}(x + 9)$ $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form. $\newline$ $\_\_$

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Linear equations: solve for y

Full solution

Q. Rewrite the following equation in slope-intercept form.

\newline

y - 4 = \frac{1}{9}(x + 9)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

\_\_

Definition of Slope-intercept form: Slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
Start with given equation: Start with the given equation: $y - 4 = \frac{1}{9}(x + 9)$ .
Distribute $\frac{1}{9}$ to $x$ and $9$ : Distribute the $\frac{1}{9}$ to both $x$ and $9$ : $y - 4 = \frac{1}{9} \times x + \frac{1}{9} \times 9$ .
Simplify the right side: Simplify the right side: $y - 4 = \frac{1}{9}x + 1$ .
Isolate $y$ by adding $4$ : Add $4$ to both sides to isolate $y$ : $y = \frac{1}{9}x + 1 + 4$ .
Combine like terms: Combine like terms: $y = \frac{1}{9}x + 5$ .

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