The equation $y = -\frac{6}{5}x + 4$ is in slope-intercept form, which is written as:

$y = mx + b$

Where:

• $m$ is the slope
• $b$ is the y-intercept

Slope and Y-Intercept:

1. Slope ($m$): $-\frac{6}{5}$
2. Y-Intercept ($b$): $4$

Thus:

• The slope is $-\frac{6}{5}$, which means the line decreases by 6 units in $y$ for every 5 units increase in $x$.
• The y-intercept is $4$, which is the point where the line crosses the y-axis at $(0, 4)$.

Would you like a graph of this equation or further clarification?

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Related Questions:

1. How does the slope of $-\frac{6}{5}$ affect the steepness of the line?
2. What is the significance of the y-intercept in real-world scenarios?
3. How can you determine the x-intercept of this equation?
4. How would the equation change if the slope were positive?
5. What happens to the graph if the y-intercept changes to $b = -3$?

Tip: In slope-intercept form, always identify the slope and y-intercept first to understand the graph's behavior quickly!