Write in y=mx+b Form y+2=5/3(x+6)

$y + 2 = \frac{5}{3} (x + 6)$

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Rewrite in slope-intercept form.

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Simplify $\frac{5}{3} \cdot (x + 6)$ .

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Apply the distributive property.

$y + 2 = \frac{5}{3} x + \frac{5}{3} \cdot 6$

Combine $\frac{5}{3}$ and $x$ .

$y + 2 = \frac{5 x}{3} + \frac{5}{3} \cdot 6$

Cancel the common factor of $3$ .

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Factor $3$ out of $6$ .

$y + 2 = \frac{5 x}{3} + \frac{5}{3} \cdot (3 (2))$

Cancel the common factor.

$y + 2 = \frac{5 x}{3} + \frac{5}{3} \cdot (3 \cdot 2)$

Rewrite the expression.

$y + 2 = \frac{5 x}{3} + 5 \cdot 2$

Multiply $5$ by $2$ .

$y + 2 = \frac{5 x}{3} + 10$

Move all terms not containing $y$ to the right side of the equation.

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Subtract $2$ from both sides of the equation.

$y = \frac{5 x}{3} + 10 - 2$

Subtract $2$ from $10$ .

$y = \frac{5 x}{3} + 8$

Rewrite in slope-intercept form.

$y = \frac{5}{3} x + 8$

Write in y=mx+b Form y+2=5/3(x+6)

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