Rewrite the following equation in slope-intercept form. \( -5 x-15 y=-17 \) Write your answer using integers, proper fractions, and improper fractions in simplest form.

To rewrite the equation \( -5x - 15y = -17 \) in slope-intercept form, we need to solve for \( y \). First, isolate \( y \): 1. Add \( 5x \) to both sides: \[ -15y = 5x - 17 \] 2. Now, divide each term by \( -15 \): \[ y = -\frac{5}{15}x + \frac{17}{15} \] 3. Simplifying \( -\frac{5}{15} \) gives \( -\frac{1}{3} \): \[ y = -\frac{1}{3}x + \frac{17}{15} \] Thus, the equation in slope-intercept form is: \[ y = -\frac{1}{3}x + \frac{17}{15} \]