Let's solve the problem.

We are asked to write an equation in slope-intercept form $y = mx + b$, where:

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

Given:

• Slope $m = -\frac{3}{5}$
• Y-intercept $b = 6$

Substituting these values into the slope-intercept form:

$y = -\frac{3}{5}x + 6$

Final Answer:

$y = -\frac{3}{5}x + 6$

Would you like me to explain further or provide additional examples?

Here are 5 related questions to expand your understanding:

1. How do you find the equation of a line given two points?
2. What is the slope-intercept form used for, and why is it useful?
3. How would the graph of $y = -\frac{3}{5}x + 6$ look? What are its key features?
4. Can a line have a slope of $0$? What would its equation look like?
5. How do you convert slope-intercept form to standard form?

Tip:

The slope $m$ represents the "rise over run," or how much the line goes up or down for each step to the right. A negative slope means the line decreases as you move to the right!