Q. Find the y-intercept of the line \(y=\frac{2}{5}x-\frac{14}{11}\).

1. Identify the form of the equation. The given line is
   \( y = \frac{2}{5}x – \frac{14}{11} \), which is in slope-intercept form \( y = mx + b \).
2. Recall the definition of the y-intercept. In \( y = mx + b \), the y-intercept is the value of \( y \) when \( x = 0 \); it is the constant \( b \).
3. Read off the constant term. Here the constant term is \( b = -\frac{14}{11} \).
4. Verify by substituting \( x = 0 \):
   \[
   y = \frac{2}{5}\cdot 0 – \frac{14}{11} = 0 – \frac{14}{11} = -\frac{14}{11}.
   \]

Answer: -\(\dfrac{14}{11}\)