The question is about the equation $y = -\frac{1}{4}x + 2$.

1. Y-intercept: The equation is in slope-intercept form, $y = mx + b$, where $m$ is the slope, and $b$ is the y-intercept. Here, the y-intercept is $2$, which means the line crosses the y-axis at the point $(0, 2)$.

2. Slope: The slope $m$ is $-\frac{1}{4}$. Since it is negative, the line will slope downward from left to right.

Therefore, the answer to the last part:

• The line goes downward from left to right.

Would you like further details on how to graph this line, or have any questions?

Here are some related questions to explore:

1. How do you determine the direction of a line based on its slope?
2. What does the y-intercept represent in a real-world context?
3. How can you find the x-intercept of the equation $y = -\frac{1}{4}x + 2$?
4. How would the graph change if the slope were positive?
5. What is the effect of changing the y-intercept in the equation?

Tip: In slope-intercept form, the slope tells you the direction and steepness of the line, while the y-intercept indicates where the line crosses the y-axis.