To write the equation of a line given the slope and y-intercept, you can use the slope-intercept form of a line, which is:
\[ y = mx + b \]
where:
- \( m \) is the slope,
- \( b \) is the y-intercept.
Given:
- Slope (\( m \)) = \(-\frac{2}{5}\)
- Y-intercept (\( b \)) = \(0\)
Substituting the values into the equation:
\[ y = -\frac{2}{5}x + 0 \]
This simplifies to:
\[ y = -\frac{2}{5}x \]
So, the equation of the line is:
\[ y = -\frac{2}{5}x \]