Find the slope and the $y$-intercept of the line. \[ y=5 x+3 \] The slope is The $y$-intercept is $(0$,

Step 1 ：The equation of the line is given in the slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. So, by comparing the given equation with the slope-intercept form, we can directly read off the slope and the y-intercept.

Step 2 ：slope = 5

Step 3 ：y_intercept = 3

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