Write in Slope-Intercept Form y+6=-3/4(x+8)

$y + 6 = - \frac{3}{4} (x + 8)$

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 $- \frac{3}{4} (x + 8)$ .

Simplify terms.

Apply the distributive property.

$y + 6 = - \frac{3}{4} x - \frac{3}{4} \cdot 8$

Combine $x$ and $\frac{3}{4}$ .

$y + 6 = - \frac{x \cdot 3}{4} - \frac{3}{4} \cdot 8$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$y + 6 = - \frac{x \cdot 3}{4} + \frac{- 3}{4} \cdot 8$

Factor $4$ out of $8$ .

$y + 6 = - \frac{x \cdot 3}{4} + \frac{- 3}{4} \cdot (4 (2))$

Cancel the common factor.

$y + 6 = - \frac{x \cdot 3}{4} + \frac{- 3}{4} \cdot (4 \cdot 2)$

Rewrite the expression.

$y + 6 = - \frac{x \cdot 3}{4} - 3 \cdot 2$

Multiply $- 3$ by $2$ .

$y + 6 = - \frac{x \cdot 3}{4} - 6$

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

$y + 6 = - \frac{3 x}{4} - 6$

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

Subtract $6$ from both sides of the equation.

$y = - \frac{3 x}{4} - 6 - 6$

Subtract $6$ from $- 6$ .

$y = - \frac{3 x}{4} - 12$

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

Reorder terms.

$y = - (\frac{3}{4} x) - 12$

Remove parentheses.

$y = - \frac{3}{4} x - 12$