Find the slope and the $y$-intercept of the line. \[ 3 x-5 y=8 \]

Step 1 ：The given equation is in the standard form of a linear equation, which is \(Ax + By = C\). To find the slope and y-intercept, we need to convert this equation into slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 ：To do this, we can rearrange the equation to solve for \(y\).

Step 3 ：The equation in slope-intercept form is \(y = \frac{3}{5}x - \frac{8}{5}\). Therefore, the slope of the line is \(\frac{3}{5}\) and the y-intercept is \(-\frac{8}{5}\).

Step 4 ：Final Answer: The slope of the line is \(\boxed{\frac{3}{5}}\) and the y-intercept is \(\boxed{-\frac{8}{5}}\).