Rewrite the following equation in slope-intercept form. y − 2 = 1/7(x + 7) Write your answer using integers, proper fractions, and improper fractions in simplest form. _____

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

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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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Algebra 1

Linear equations: solve for y

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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: $y = \frac{1}{7}x + 3$ .