Write in y=mx+b Form y-5=-1/5(x-1)

$y - 5 = - \frac{1}{5} (x - 1)$

Step 1

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

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the right side.

Simplify $- \frac{1}{5} (x - 1)$ .

Apply the distributive property.

$y - 5 = - \frac{1}{5} x - \frac{1}{5} \cdot - 1$

Combine $x$ and $\frac{1}{5}$ .

$y - 5 = - \frac{x}{5} - \frac{1}{5} \cdot - 1$

Multiply $- \frac{1}{5} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$y - 5 = - \frac{x}{5} + 1 (\frac{1}{5})$

Multiply $\frac{1}{5}$ by $1$ .

$y - 5 = - \frac{x}{5} + \frac{1}{5}$

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

Add $5$ to both sides of the equation.

$y = - \frac{x}{5} + \frac{1}{5} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$y = - \frac{x}{5} + \frac{1}{5} + 5 \cdot \frac{5}{5}$

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

$y = - \frac{x}{5} + \frac{1}{5} + \frac{5 \cdot 5}{5}$

Combine the numerators over the common denominator.

$y = - \frac{x}{5} + \frac{1 + 5 \cdot 5}{5}$

Simplify the numerator.

Multiply $5$ by $5$ .

$y = - \frac{x}{5} + \frac{1 + 25}{5}$

Add $1$ and $25$ .

$y = - \frac{x}{5} + \frac{26}{5}$

Write in $y = m x + b$ form.

Reorder terms.

$y = - (\frac{1}{5} x) + \frac{26}{5}$

Remove parentheses.

$y = - \frac{1}{5} x + \frac{26}{5}$