The given equation is in slope-intercept form, $y = mx + b$, where:

• $m$ is the slope.
• $b$ is the y-intercept (the point where the line crosses the y-axis).

For the equation $y = \frac{6}{5}x - 4$:

• The slope $m = \frac{6}{5}$.
• The y-intercept $b = -4$.

Steps to graph:

1. Plot the y-intercept: Start by plotting the point $(0, -4)$ on the y-axis.
2. Use the slope: The slope $\frac{6}{5}$ means that for every 5 units you move to the right on the x-axis, you move 6 units up on the y-axis.
   • From the point $(0, -4)$, move 5 units to the right and 6 units up, arriving at the point $(5, 2)$.
3. Draw the line: Connect these two points with a straight line.

Would you like a detailed explanation of the slope-intercept form, or any further details on graphing?

Related Questions:

1. What is the significance of the slope in a linear equation?
2. How do you find the slope if the equation is not in slope-intercept form?
3. What does a positive slope tell you about the direction of the line?
4. How do you determine the y-intercept from a graph?
5. Can a line have a slope of zero, and what does it represent?

Tip: Always check that the y-intercept is correctly plotted before applying the slope to ensure accuracy in drawing the line.