To find the slope of the line represented by the equation

$y = \frac{5}{3}x + 8$

we need to identify the coefficient of $x$ in this slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

In this case:

• The coefficient of $x$ is $\frac{5}{3}$, which means the slope $m = \frac{5}{3}$.

So, the slope of the line is:

$\frac{5}{3}$

Would you like more details, or do you have any questions?

Here are 5 related questions to expand your understanding:

1. What is the y-intercept of the line in this equation?
2. How would the slope change if the equation was $y = -\frac{5}{3}x + 8$?
3. How can you determine the slope from an equation that is not in slope-intercept form?
4. What does a positive slope indicate about the direction of the line?
5. How would the line's equation change if the slope were $\frac{3}{5}$ instead?

Tip: In slope-intercept form, the coefficient of $x$ always represents the slope, making it easy to identify the line's steepness and direction.