The equation of the line is given as:

$y = \frac{8}{9}x - 7$

This equation is in the slope-intercept form, which is generally written as:

$y = mx + b$

where:

• $m$ is the slope of the line, and
• $b$ is the $y$-intercept.

Slope:

The slope $m$ is the coefficient of $x$, which is $\frac{8}{9}$.

$y$-intercept:

The $y$-intercept $b$ is the constant term, which is $-7$.

Thus:

• Slope: $\frac{8}{9}$
• $y$-intercept: $-7$

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would the slope change if the coefficient of $x$ were negative?
2. What does the slope $\frac{8}{9}$ indicate about the steepness of the line?
3. How can you determine the $x$-intercept from this equation?
4. What is the meaning of the $y$-intercept in the context of a graph?
5. How would the line change if the $y$-intercept were positive?

Tip: The slope indicates how much the $y$-value changes for every unit increase in $x$.