Question

find the slope of the line $y = x + \frac{5}{3}$. 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 given by \(y = mx + b\), where \(m\) is the slope of the line and \(b\) is the y - intercept.

Step2: Identify \(m\) from the given equation

The given equation of the line is \(y=x+\frac{5}{3}\). Comparing this with the slope - intercept form \(y = mx + b\), we can see that the coefficient of \(x\) (which is \(m\)) is \(1\) (since \(x = 1\times x\)).

Answer:

\(1\)