The slope of a line is calculated as the change in y divided by the change in x (rise over run). From the graph, we can see that the line passes through the points (-5, 1) and (5, 5).
Step 2: Calculate the Slope
Using the points (-5, 1) and (5, 5):
\[ \text{slope} = \frac{5 - 1}{5 - (-5)} = \frac{4}{10} = \frac{2}{5} \]
Step 3: Determine the y-Intercept
The y-intercept is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at y = 3.
Final Answer
The equation of the line in slope-intercept form (y = mx + b) is:
\[ y = \frac{2}{5}x + 3 \]