It looks like you've uploaded an image of a graph and some questions. Let me extract and analyze the content.

Content Breakdown:

• Graph: The image shows a scatter plot with points and a best-fit line (trend line). It seems to represent some form of relationship between two variables (perhaps time and usage, or something similar).

• Questions: There are three questions beside the graph:

  1. "What is the y-intercept of the line?"
  2. "What is the slope of the line?"
  3. "What is the equation of the line in slope-intercept form?"

Step-by-Step Solution:

1. Y-intercept: The y-intercept is where the line crosses the y-axis (when $x = 0$). From the graph, it seems to cross the y-axis at $y = 2$.

2. Slope: The slope is calculated as the change in $y$ divided by the change in $x$ between two points on the line. Let's take two points from the graph and calculate:

   • Point 1: $(0, 2)$
   • Point 2: $(2, 3)$

   The slope is $\frac{\Delta y}{\Delta x} = \frac{3 - 2}{2 - 0} = \frac{1}{2}$.

3. Equation of the Line: The equation of a line in slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

   • From the previous steps, we know:
     • $m = \frac{1}{2}$
     • $b = 2$

   Thus, the equation is $y = \frac{1}{2}x + 2$.

Final Answers:

1. Y-intercept: 2
2. Slope: $\frac{1}{2}$
3. Equation: $y = \frac{1}{2}x + 2$

Would you like more details or have any questions?

Here are 5 follow-up questions:

1. How is the slope of a line affected by steepness?
2. Can the slope of a line be negative, and what does that mean?
3. What happens to the equation if the y-intercept is at 0?
4. How would you find the slope if the points on the graph were decimals?
5. How can this method be used to analyze real-world data trends?

Tip: When calculating the slope, choosing two points far apart on the line helps reduce small errors in reading values from the graph.