The equation given is:

$y = -\frac{1}{4}x + 2$

To analyze this equation and find the y-intercept:

1. Identify the y-intercept: In the slope-intercept form $y = mx + b$, $b$ represents the y-intercept. Here, $b = 2$.

   Therefore, the y-intercept is 2.

2. Point on the y-axis: Since the y-intercept is the point where the line crosses the y-axis, the x-coordinate at this point is $0$. So, the line crosses the y-axis at the point:

   $(0, 2)$

Answer:

• The y-intercept is $2$.
• The line crosses the y-axis at the point $(0, 2)$.

Would you like further details on how to graph this line or the effect of the slope $-\frac{1}{4}$ on its direction?

Here are some related questions to consider:

1. What is the slope of this line, and how does it affect the line's orientation?
2. How would the graph change if the y-intercept were a different value?
3. What points would you choose to plot to accurately draw this line on a graph?
4. How do you determine the x-intercept for this line?
5. Can you rewrite this equation in a different form, like point-slope form?

Tip: The slope in the equation tells you how much $y$ changes for each unit increase in $x$. A negative slope means the line will go downwards as you move from left to right.