Question

find the slope of the line $y = \frac{2}{3}x + \frac{3}{2}$. write your answer as an integer or as a simplified proper or improper 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 \(m\) in the given equation

In the equation \(y=\frac{2}{3}x+\frac{3}{2}\), comparing it with \(y = mx + b\), we can see that \(m=\frac{2}{3}\).

Answer:

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