The problem shown in the image asks to graph the equation $y = \frac{5}{4}x - 8$ using the slope and the y-intercept.

Here’s how to approach the problem:

1. Identify the slope and y-intercept:

   • The equation is in slope-intercept form, $y = mx + b$, where:
     • $m = \frac{5}{4}$ is the slope.
     • $b = -8$ is the y-intercept.

2. Plot the y-intercept:

   • Start by plotting the point where the line crosses the y-axis. In this case, the y-intercept is $(0, -8)$.

3. Use the slope:

   • The slope $\frac{5}{4}$ means that for every 4 units you move to the right (positive direction on the x-axis), you move 5 units up (positive direction on the y-axis).
   • From the point $(0, -8)$, move 4 units to the right and 5 units up to plot another point at $(4, -3)$.

4. Draw the line:

   • After plotting the points $(0, -8)$ and $(4, -3)$, draw a straight line passing through them.

This is the line representing the equation $y = \frac{5}{4}x - 8$.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the slope from two points on a graph?
2. What is the general form of a linear equation?
3. How does the slope affect the direction of a line?
4. How can you graph a line given only the slope and one point?
5. What is the difference between the slope-intercept form and point-slope form of a line?

Tip: Always double-check the slope direction (upward/downward) when graphing lines to avoid sign errors.