Let's analyze the graph and determine the equation of the line.

Key steps:

1. Identify two points on the line: From the image, I can see two points where the line crosses grid points:

   • Point 1: (0, 3) (y-intercept)
   • Point 2: (4, -3)

2. Calculate the slope: The slope ($m$) is determined by the formula:

   $m = \frac{y_2 - y_1}{x_2 - x_1}$

   Using points (0, 3) and (4, -3):

   $m = \frac{-3 - 3}{4 - 0} = \frac{-6}{4} = -\frac{3}{2}$

3. Use the slope-intercept form of the line: The slope-intercept form is:

   $y = mx + b$

   We know the slope $m = -\frac{3}{2}$ and the y-intercept $b = 3$ from the point (0, 3). Thus, the equation of the line is:

   $y = -\frac{3}{2}x + 3$

This is the equation of the line in the graph.

Would you like any more details or further clarifications?

Here are 5 related questions:

1. How do you find the slope if given only two points on a line?
2. What is the slope-intercept form of a linear equation?
3. How do you interpret the slope and y-intercept in real-world scenarios?
4. How can you convert a slope-intercept equation to standard form?
5. How does changing the slope affect the steepness of the line?

Tip: Always start by identifying two clear points on the graph to accurately calculate the slope.