In the image, the problem asks you to identify the slope and y-intercept of the equation:

$y = \frac{3}{8}x - 9$

This is in the slope-intercept form of a linear equation, which is:

$y = mx + b$

Where:

• $m$ is the slope of the line
• $b$ is the y-intercept (the value of $y$ when $x = 0$)

From the given equation $y = \frac{3}{8}x - 9$:

• The slope $m = \frac{3}{8}$
• The y-intercept $b = -9$

So, the slope is $\frac{3}{8}$, and the y-intercept is $-9$.

Would you like more details on this or have any other questions?

Here are 5 related questions to explore:

1. How do you graph a line using the slope and y-intercept?
2. How would the graph change if the slope were negative?
3. What happens if the y-intercept becomes positive?
4. Can you find the x-intercept of this equation?
5. How would you write an equation of a line parallel to this one?

Tip: When graphing a line, always start by plotting the y-intercept, then use the slope to determine the next points on the graph.