Step 1 :The given equation is \(6x + 8y = -15\).
Step 2 :We need to put this equation in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 3 :To do this, we isolate \(y\) on one side of the equation.
Step 4 :Doing so, we get \(y = -\frac{3}{4}x - \frac{15}{8}\).
Step 5 :From this, we can see that the slope \(m\) is \(-\frac{3}{4}\) and the y-intercept \(b\) is \(-\frac{15}{8}\).
Step 6 :Final Answer: The slope is \(\boxed{-\frac{3}{4}}\) and the y-intercept is \(\boxed{-\frac{15}{8}}\).