Find the y-intercept of the line y=


8
5
x–4.
Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

1 answer

To find the y-intercept of the line given by the equation \( y = -\frac{8}{5}x - 4 \), we need to evaluate the equation when \( x = 0 \).

Substituting \( x = 0 \):

\[ y = -\frac{8}{5}(0) - 4 \]

This simplifies to:

\[ y = -4 \]

Thus, the y-intercept of the line is:

\[ \boxed{-4} \]