The equation you provided, \( y = \frac{5}{3}x + 3 \), is in slope-intercept form, which is generally written as:

\[
y = mx + b
\]

Here:
- \( m \) is the slope of the line, which is \( \frac{5}{3} \),
- \( b \) is the y-intercept, which is 3.

### Key information:
- **Slope**: The slope \( m = \frac{5}{3} \) means that for every 3 units you move horizontally (along the x-axis), the value of y increases by 5 units.
- **Y-intercept**: The y-intercept \( b = 3 \) is the point where the line crosses the y-axis. This occurs when \( x = 0 \), so the point is \( (0, 3) \).

If you need to graph this, you'd plot the point \( (0, 3) \) and use the slope to find other points on the line.

### Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do you calculate the slope between two points on a line?
2. What is the equation of a line that passes through two specific points?
3. How do you find the x-intercept of a line?
4. How can you convert this equation into standard form?
5. How do parallel and perpendicular slopes compare?

**Tip**: The slope tells you how steep the line is. Positive slopes indicate the line rises, while negative slopes indicate the line falls.

Explore the solution to the linear equation y = 5/3x + 3. Learn about the slope-intercept form, how to find the slope and y-intercept, and graph the equation. Perfect for Grade 8 students learning algebraic concepts.

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