The problem asks to write the equation of a line in slope-intercept form, given the slope $m = -\frac{1}{4}$ and the y-intercept $b = 9$.

The general form of the slope-intercept equation is: $y = mx + b$

Substituting the given values for $m$ and $b$: $y = -\frac{1}{4}x + 9$

This is the equation of the line in slope-intercept form.

Would you like any further details or explanations?

Here are 5 related questions:

1. How do you find the slope of a line from two points?
2. What is the significance of the y-intercept in a graph?
3. How would you convert the slope-intercept form to standard form?
4. How do positive and negative slopes affect the direction of a line?
5. Can a line have an undefined slope?

Tip: In slope-intercept form, the slope $m$ tells you how steep the line is, while the y-intercept $b$ tells you where the line crosses the y-axis.