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Rewrite the following equation in slope-intercept form. $\newline$ $y - 2 = \frac{1}{7}(x + 7)$ $\newline$ 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 - 2 = \frac{1}{7}(x + 7)

\newline

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

\newline

_____

Slope-intercept form: Slope-intercept form is $y = mx + b$ .
Start with equation: Start with $y - 2 = \frac{1}{7}(x + 7)$ .
Distribute $\frac{1}{7}$ : Distribute $\frac{1}{7}$ to both $x$ and $7$ : $y − 2 = \frac{1}{7} \times x + \frac{1}{7} \times 7$ .
Simplify the equation: Simplify the equation: $y - 2 = \frac{1}{7}x + 1$ .
Isolate $y$ : Add $2$ to both sides to isolate $y$ : $y = \frac{1}{7}x + 1 + 2$ .
Combine like terms: Combine like terms: $y = \frac{1}{7}x + 3$ .

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\newline

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\newline

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\newline

\newline

\text{(A)horizontal line}

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Question

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\newline

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\newline

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\newline

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Question

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\newline

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