Find the Slope and y-intercept y+1/2x=-4

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

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

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

Subtract $\frac{x}{2}$ from both sides of the equation.

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

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

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

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

Reorder terms.

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

Remove parentheses.

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

Step 2

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

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

$b = - 4$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- \frac{1}{2}$

y-intercept: $(0, - 4)$

Slope: $- \frac{1}{2}$

y-intercept: $(0, - 4)$

Step 3