Calculate the slope of a line using the equation: \[ 6 x-15 y=-2 \]

Step 1 ：Given the equation of the line as \(6x - 15y = -2\).

Step 2 ：Rearrange the equation to the form \(y = mx + c\), where \(m\) is the slope.

Step 3 ：Doing so, we get \(y = \frac{2}{5}x + \frac{2}{15}\).

Step 4 ：From this, we can see that the slope of the line is \(\frac{2}{5}\).

Step 5 ：Final Answer: The slope of the line is \(\boxed{\frac{2}{5}}\).