Question

find the y-intercept of the line $y = \frac{9}{20}x + \frac{8}{3}$. 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

In the equation \(y=\frac{9}{20}x+\frac{8}{3}\), comparing it with the slope - intercept form \(y = mx + b\), we can see that the value of \(b\) (the \(y\) - intercept) is \(\frac{8}{3}\).

Answer:

\(\frac{8}{3}\)