Final answer:
The y-intercept of the line given by the equation y = (4/9)x + 15 is 15, as it's the constant term in the equation.
Step-by-step explanation:
The question asks to find the y-intercept of the equation y = \( \frac{4}{9} \)x + 15. The y-intercept is the value of y when x is zero. In the equation of a line y = mx + b, the y-intercept is represented by b. Thus, for the given line, the y-intercept is simply the constant term, which is 15.