Question

the slope of the line $y = \frac{2}{3}x + \frac{5}{9}$ is $m = $
enter the slope as a fraction.

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 slope from the given equation

In the equation \(y=\frac{2}{3}x+\frac{5}{9}\), by comparing it with \(y = mx + b\), we can see that the coefficient of \(x\) is \(\frac{2}{3}\). So, the slope \(m=\frac{2}{3}\).

Answer:

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