Find the y-intercept of the line with the equation \( y = -\frac{1}{2}x + 5 \).

To find the **y-intercept** of the line given by the equation: \[ y = -\frac{1}{2}x + 5 \] **Step 1: Understand the Equation** The equation is in the slope-intercept form: \[ y = mx + b \] where: - \( m \) is the **slope** of the line. - \( b \) is the **y-intercept** of the line. **Step 2: Identify the Y-Intercept** From the given equation: \[ y = -\frac{1}{2}x + 5 \] - The slope (\( m \)) is \( -\frac{1}{2} \). - The y-intercept (\( b \)) is **5**. **Step 3: Express the Y-Intercept as a Point** The y-intercept is the point where the line crosses the y-axis. At this point, the value of \( x \) is **0**. Therefore, the y-intercept can be expressed as the point: \[ (0, 5) \] **Conclusion** The y-intercept of the line \( y = -\frac{1}{2}x + 5 \) is **5**, which corresponds to the point **(0, 5)** on the coordinate plane.