A line has a slope of $$ -\frac{1}{2} $$ and a $$ y $$-intercept of $$ -\frac{1}{2} $$. Write its equation in slope-intercept form.

Question

UpStudy AI · Accepted Answer

To write the equation of a line in **slope-intercept form**, we use the formula:

$$
y = mx + b
$$

where:
- $$ m $$ is the **slope** of the line.
- $$ b $$ is the **$$ y $$-intercept**, which is the point where the line crosses the $$ y $$-axis.

Given:
- **Slope ($$ m $$)**: $$ -\frac{1}{2} $$
- **$$ y $$-intercept ($$ b $$)**: $$ -\frac{1}{2} $$

Plugging these values into the slope-intercept formula:

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

**Final Equation:**
$$
y = -\frac{1}{2}x - \frac{1}{2}
$$
The equation of the line in slope-intercept form is $$ y = -\frac{1}{2}x - \frac{1}{2} $$.

A line has a slope of and a -intercept of . Write its equation in slope-intercept form.