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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.

Write an equation in slope-intercept form for the line with slope -1/4 and y-intercept 9.

Learn how to write the equation of a line in slope-intercept form with a slope of -1/4 and a y-intercept of 9. This problem explores key algebraic concepts like slope and y-intercept, suitable for Grades 7-10.

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