Rewrite the following equation in slope-intercept form. \[ 16 x-12 y=14 \] Write your answer using integers, proper fractions, and improper fractions in simplest form.

To rewrite the equation \( 16x - 12y = 14 \) in slope-intercept form (which is \( y = mx + b \)), we need to isolate \( y \). First, move \( 16x \) to the other side: \[ -12y = -16x + 14 \] Next, divide every term by \(-12\) to solve for \( y \): \[ y = \frac{16}{12}x - \frac{14}{12} \] Now, simplify the fractions: \[ y = \frac{4}{3}x - \frac{7}{6} \] So, in slope-intercept form, the equation is: \[ y = \frac{4}{3}x - \frac{7}{6} \]