Step 1 :Consider the following equation: \(7x + 8y = 5y - 2\).
Step 2 :The slope-intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. To express the given equation in this form, we need to isolate \(y\) on one side of the equation.
Step 3 :The equation in slope-intercept form is \(\boxed{y = -\frac{7}{3}x - \frac{2}{3}}\).