Write in y=mx+b Form y-6=-2/7(x-1)

$y - 6 = - \frac{2}{7} (x - 1)$

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 $- \frac{2}{7} \cdot (x - 1)$ .

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Apply the distributive property.

$y - 6 = - \frac{2}{7} x - \frac{2}{7} \cdot - 1$

Combine $x$ and $\frac{2}{7}$ .

$y - 6 = - \frac{x \cdot 2}{7} - \frac{2}{7} \cdot - 1$

Multiply $- \frac{2}{7} \cdot - 1$ .

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Multiply $- 1$ by $- 1$ .

$y - 6 = - \frac{x \cdot 2}{7} + 1 (\frac{2}{7})$

Multiply $\frac{2}{7}$ by $1$ .

$y - 6 = - \frac{x \cdot 2}{7} + \frac{2}{7}$

Move $2$ to the left of $x$ .

$y - 6 = - \frac{2 x}{7} + \frac{2}{7}$

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

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Add $6$ to both sides of the equation.

$y = - \frac{2 x}{7} + \frac{2}{7} + 6$

To write $6$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$y = - \frac{2 x}{7} + \frac{2}{7} + 6 \cdot \frac{7}{7}$

Combine $6$ and $\frac{7}{7}$ .

$y = - \frac{2 x}{7} + \frac{2}{7} + \frac{6 \cdot 7}{7}$

Combine the numerators over the common denominator.

$y = - \frac{2 x}{7} + \frac{2 + 6 \cdot 7}{7}$

Simplify the numerator.

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Multiply $6$ by $7$ .

$y = - \frac{2 x}{7} + \frac{2 + 42}{7}$

Add $2$ and $42$ .

$y = - \frac{2 x}{7} + \frac{44}{7}$

Rewrite in slope-intercept form.

$y = - \frac{2}{7} x + \frac{44}{7}$

Write in y=mx+b Form y-6=-2/7(x-1)

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