A line has a slope of 0 and a \( y \)-intercept of \( -\frac{5}{3} \). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

The equation of a line in slope-intercept form is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept. Given that the slope \( m = 0 \) and the \( y \)-intercept \( b = -\frac{5}{3} \), the equation becomes: \[ y = 0x - \frac{5}{3} \] This simplifies to: \[ y = -\frac{5}{3} \] So, the equation of the line in slope-intercept form is \( y = -\frac{5}{3} \). The fun part? This line is perfectly horizontal, sitting happily at the \( y \)-value of \( -\frac{5}{3} \) no matter where it falls along the \( x \)-axis—like a level, floating shelf of mathematical stability! Just think about it! Any time you encounter a horizontal line, you can simply remember that its slope is always 0. Just keep your eye out for those flat lines; they bring balance to the coordinate plane. They’re the calm, cool, and collected heroes of graphing!