Question

find the y-intercept of the line $y = -\frac{8}{5}x - 4$. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the \(y\) - intercept.

Step2: Identify the \(y\) - intercept from the given equation

The given equation of the line is \(y=-\frac{8}{5}x - 4\). Comparing this with the slope - intercept form \(y = mx + b\), we can see that \(m =-\frac{8}{5}\) and \(b=- 4\). The value of \(b\) is the \(y\) - intercept.

Answer:

\(-4\)