The equation given is \( y = \frac{8}{5}x - 5 \). This is a linear equation in slope-intercept form, \( y = mx + b \), where:
- \( m \) is the slope.
- \( b \) is the y-intercept.

For your equation:
- The slope \( m \) is \( \frac{8}{5} \), meaning that for every 5 units moved horizontally, the value of \( y \) increases by 8 units.
- The y-intercept \( b \) is \( -5 \), which means the line crosses the y-axis at \( (0, -5) \).

### Key Information:
- **Slope**: \( \frac{8}{5} \)
- **Y-intercept**: \( -5 \)
- The graph will be a straight line.

Would you like further details on how to graph this, or do you have any other questions?

Here are 5 related questions you might consider:
1. How do you find the x-intercept of a line?
2. What happens to the graph if the slope changes to a negative value?
3. How do you calculate the slope from two points on a line?
4. How can you determine if two lines are parallel?
5. What is the equation of a line perpendicular to this one through the origin?

**Tip**: To find the x-intercept of the line, set \( y = 0 \) and solve for \( x \).

Discover how to solve and graph the linear equation y = 8/5x - 5. This guide explains the slope-intercept form, how to identify the slope and y-intercept, and provides tips for finding the x-intercept. Ideal for students in Grades 8-10.

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