Find the Slope y-(-1)=-3/2*(x-2)

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

Rewrite in slope-intercept form.

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

$y = m x + b$

Multiply $- 1$ by $- 1$ .

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

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

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Simplify terms.

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Apply the distributive property.

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

Combine $x$ and $\frac{3}{2}$ .

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

Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{3}{2}$ into the numerator.

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

Factor $2$ out of $- 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $- 3$ by $- 1$ .

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

Move $3$ to the left of $x$ .

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

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

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Subtract $1$ from both sides of the equation.

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

Subtract $1$ from $3$ .

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

Rewrite in slope-intercept form.

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

Using the slope-intercept form, the slope is $- \frac{3}{2}$ .

$m = - \frac{3}{2}$

Find the Slope y-(-1)=-3/2*(x-2)

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