To write the equation of the line from the graph, we need to find its slope and y-intercept.

From the image, I can see that the line passes through certain points. Let’s break this down:

1. Identify two points on the line:

   • From the graph, we can observe the line crosses at the point (-4, 3) and (0, 5).

2. Find the slope (m): The slope formula is:

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

   Using the points (-4, 3) and (0, 5):

   $m = \frac{5 - 3}{0 - (-4)} = \frac{2}{4} = \frac{1}{2}$

3. Write the equation using the point-slope form: The point-slope form of a line is:

   $y - y_1 = m(x - x_1)$

   Using the point (0, 5) and slope $m = \frac{1}{2}$:

   $y - 5 = \frac{1}{2}(x - 0)$

   Simplifying this:

   $y - 5 = \frac{1}{2}x$

   $y = \frac{1}{2}x + 5$

Thus, the equation of the line is:

$y = \frac{1}{2}x + 5$

Would you like a more detailed explanation or help with any other questions? Here are a few related questions:

1. How do you calculate the slope of a line when two points are given?
2. What is the difference between the point-slope form and slope-intercept form of a line?
3. How can you identify the y-intercept from a graph?
4. Can this line be written in standard form?
5. How do you graph an equation like $y = \frac{1}{2}x + 5$?

Tip: To determine the slope quickly, always try to pick points with integer coordinates to simplify the calculations!