Write in Slope-Intercept Form y+1=(3-2)/(-1-3)(x-2)

$y + 1 = \frac{3 - 2}{- 1 - 3} (x - 2)$

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 $\frac{3 - 2}{- 1 - 3} (x - 2)$ .

Simplify the expression.

Subtract $2$ from $3$ .

$y + 1 = \frac{1}{- 1 - 3} (x - 2)$

Subtract $3$ from $- 1$ .

$y + 1 = \frac{1}{- 4} (x - 2)$

Move the negative in front of the fraction.

$y + 1 = - \frac{1}{4} (x - 2)$

Apply the distributive property.

$y + 1 = - \frac{1}{4} x - \frac{1}{4} \cdot - 2$

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

$y + 1 = - \frac{x}{4} - \frac{1}{4} \cdot - 2$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$y + 1 = - \frac{x}{4} + \frac{- 1}{4} \cdot - 2$

Factor $2$ out of $4$ .

$y + 1 = - \frac{x}{4} + \frac{- 1}{2 (2)} \cdot - 2$

Factor $2$ out of $- 2$ .

$y + 1 = - \frac{x}{4} + \frac{- 1}{2 \cdot 2} \cdot (2 \cdot - 1)$

Cancel the common factor.

$y + 1 = - \frac{x}{4} + \frac{- 1}{2 \cdot 2} \cdot (2 \cdot - 1)$

Rewrite the expression.

$y + 1 = - \frac{x}{4} + \frac{- 1}{2} \cdot - 1$

Combine $\frac{- 1}{2}$ and $- 1$ .

$y + 1 = - \frac{x}{4} + \frac{- - 1}{2}$

Multiply $- 1$ by $- 1$ .

$y + 1 = - \frac{x}{4} + \frac{1}{2}$

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

Subtract $1$ from both sides of the equation.

$y = - \frac{x}{4} + \frac{1}{2} - 1$

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{x}{4} + \frac{1}{2} - 1 \cdot \frac{2}{2}$

Combine $- 1$ and $\frac{2}{2}$ .

$y = - \frac{x}{4} + \frac{1}{2} + \frac{- 1 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = - \frac{x}{4} + \frac{1 - 1 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 1$ by $2$ .

$y = - \frac{x}{4} + \frac{1 - 2}{2}$

Subtract $2$ from $1$ .

$y = - \frac{x}{4} + \frac{- 1}{2}$

Move the negative in front of the fraction.

$y = - \frac{x}{4} - \frac{1}{2}$

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

Reorder terms.

$y = - (\frac{1}{4} x) - \frac{1}{2}$

Remove parentheses.

$y = - \frac{1}{4} x - \frac{1}{2}$

Write in Slope-Intercept Form y+1=(3-2)/(-1-3)(x-2)

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