Find the Slope -1/2x-y=3/4

$- \frac{1}{2} x - y = \frac{3}{4}$

Step 1

Rewrite in slope-intercept form.

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

$y = m x + b$

Simplify the left side.

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

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

Add $\frac{x}{2}$ to both sides of the equation.

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

Divide each term in $- y = \frac{3}{4} + \frac{x}{2}$ by $- 1$ and simplify.

Divide each term in $- y = \frac{3}{4} + \frac{x}{2}$ by $- 1$ .

$\frac{- y}{- 1} = \frac{\frac{3}{4}}{- 1} + \frac{\frac{x}{2}}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{\frac{3}{4}}{- 1} + \frac{\frac{x}{2}}{- 1}$

Divide $y$ by $1$ .

$y = \frac{\frac{3}{4}}{- 1} + \frac{\frac{x}{2}}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{\frac{3}{4}}{- 1}$ .

$y = - 1 \cdot \frac{3}{4} + \frac{\frac{x}{2}}{- 1}$

Rewrite $- 1 \cdot \frac{3}{4}$ as $- \frac{3}{4}$ .

$y = - \frac{3}{4} + \frac{\frac{x}{2}}{- 1}$

Move the negative one from the denominator of $\frac{\frac{x}{2}}{- 1}$ .

$y = - \frac{3}{4} - 1 \cdot \frac{x}{2}$

Rewrite $- 1 \cdot \frac{x}{2}$ as $- \frac{x}{2}$ .

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

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

Reorder $- \frac{3}{4}$ and $- \frac{x}{2}$ .

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

Reorder terms.

$y = - (\frac{1}{2} x) - \frac{3}{4}$

Remove parentheses.

$y = - \frac{1}{2} x - \frac{3}{4}$

Step 2

Using the slope-intercept form, the slope is $- \frac{1}{2}$ .

$m = - \frac{1}{2}$

Step 3