Write in Slope-Intercept Form y-4=-1/4(x-1)

$y - 4 = - \frac{1}{4} (x - 1)$

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.

Simplify the right side.

Simplify $- \frac{1}{4} (x - 1)$ .

Apply the distributive property.

$y - 4 = - \frac{1}{4} x - \frac{1}{4} \cdot - 1$

Combine $x$ and $\frac{1}{4}$ .

$y - 4 = - \frac{x}{4} - \frac{1}{4} \cdot - 1$

Multiply $- \frac{1}{4} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$y - 4 = - \frac{x}{4} + 1 (\frac{1}{4})$

Multiply $\frac{1}{4}$ by $1$ .

$y - 4 = - \frac{x}{4} + \frac{1}{4}$

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

Add $4$ to both sides of the equation.

$y = - \frac{x}{4} + \frac{1}{4} + 4$

To write $4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{x}{4} + \frac{1}{4} + 4 \cdot \frac{4}{4}$

Combine $4$ and $\frac{4}{4}$ .

$y = - \frac{x}{4} + \frac{1}{4} + \frac{4 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = - \frac{x}{4} + \frac{1 + 4 \cdot 4}{4}$

Simplify the numerator.

Multiply $4$ by $4$ .

$y = - \frac{x}{4} + \frac{1 + 16}{4}$

Add $1$ and $16$ .

$y = - \frac{x}{4} + \frac{17}{4}$

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

Reorder terms.

$y = - (\frac{1}{4} x) + \frac{17}{4}$

Remove parentheses.

$y = - \frac{1}{4} x + \frac{17}{4}$