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 $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Match given equation to form

The given line is $y = x + \frac{5}{3}$, which can be rewritten as $y = 1x + \frac{5}{3}$. Comparing to $y = mx + b$, we identify $m=1$.

Answer:

1