To find the equation of the line, we need to determine two components:

1. The slope ($m$): The slope is calculated as: $m = \frac{\text{Rise}}{\text{Run}}$ From the graph, the line rises from $y = -6$ to $y = 8$, and runs from $x = -8$ to $x = 2$. Therefore: $\text{Rise} = 8 - (-6) = 14,\ \text{Run} = 2 - (-8) = 10$ So: $m = \frac{14}{10} = \frac{7}{5}$

2. The y-intercept ($b$): This is the $y$-value where the line crosses the $y$-axis. From the graph, the line crosses the $y$-axis at $b = -8$.

The equation of the line in slope-intercept form is: $y = \frac{7}{5}x - 8$

Would you like a breakdown of how to derive the slope or check the solution?

Related Questions:

1. How can I identify the slope if I don't have clear coordinates?
2. What is the difference between slope-intercept form and point-slope form?
3. How do you convert a fraction slope into decimal form?
4. What is the process for finding the equation of a vertical line?
5. How does the y-intercept affect the position of the line?

Tip: Always label key points on the graph to make slope and intercept calculations easier!