Question

find the y-intercept of the line $y = \frac{8}{9}x + 2$. write your answer as an integer or as a simplified proper or improper fraction, not as 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. The \(y\) - intercept is the value of \(y\) when \(x = 0\).

Step2: Identify \(b\) in the given equation

In the equation \(y=\frac{8}{9}x + 2\), comparing it with \(y=mx + b\), we can see that \(m=\frac{8}{9}\) and \(b = 2\). When \(x = 0\), \(y=b\). So the \(y\) - intercept is the value of \(b\) in the slope - intercept form.

Answer:

\(2\)