To graph the equation:

\[
y = \frac{5}{8}x - 1
\]

This equation is in slope-intercept form, \( y = mx + b \), where:
- \( m = \frac{5}{8} \) is the slope.
- \( b = -1 \) is the y-intercept (the point where the line crosses the y-axis).

### Steps for graphing:
1. **Y-intercept**: Start by plotting the y-intercept at the point \( (0, -1) \).
2. **Slope**: The slope \( \frac{5}{8} \) means that for every 8 units you move to the right on the x-axis, you move 5 units up on the y-axis. From the y-intercept \( (0, -1) \), move 8 units to the right and 5 units up to find another point.
3. **Draw the line**: After plotting the points, draw a straight line through them.

Would you like me to generate the graph for you? Let me know if you need more details or have any questions!

Here are five related questions:
1. How do you determine the slope from an equation?
2. What does the y-intercept represent graphically?
3. How do you graph lines with negative slopes?
4. Can you identify parallel and perpendicular lines from their slopes?
5. How does changing the slope or intercept affect the graph?

**Tip**: Always check for accuracy by plotting at least two points when graphing a line!

Learn how to graph the linear equation y = 5/8x - 1. This problem covers key algebraic concepts, including slope and y-intercept, and provides step-by-step instructions for graphing the line. Suitable for students in Grades 6-8.

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