Rewrite the following equation in slope-intercept form. \[ 5 x-16 y=-1 \] Write your answer using integers, proper fractions, and improper fractions in simplest form.

To rewrite the equation \( 5x - 16y = -1 \) in slope-intercept form, we need to isolate \( y \). Here’s how you do it: 1. Start with the original equation: \[ 5x - 16y = -1 \] 2. Subtract \( 5x \) from both sides: \[ -16y = -5x - 1 \] 3. Now, divide every term by \(-16\): \[ y = \frac{5}{16}x + \frac{1}{16} \] So, the slope-intercept form of the equation is: \[ y = \frac{5}{16}x + \frac{1}{16} \]