Question

find the y-intercept of the line $y = \frac{4}{3}x + \frac{2}{3}$. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Explanation:

Step1: Recall slope-intercept form

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

Step2: Identify the \(y\)-intercept

For the given line \(y=\frac{4}{3}x+\frac{2}{3}\), comparing it with \(y = mx + b\), we can see that \(b=\frac{2}{3}\).

Answer:

\(\frac{2}{3}\)