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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?

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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.

What is the slope of a line represented by the equation y = 5/3 x + 8? Express your answer as a fraction in least terms.

Learn how to find the slope of a line represented by the equation y = 5/3 x + 8. This algebra problem covers slope-intercept form and the concept of slope. Suitable for students in Grades 7-9.

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