Based on the visual inspection of the graph, the line passes through two distinct points:

• Point 1: $(-5, -2)$
• Point 2: $(1, 1)$

Next, we will calculate the slope $m$ using the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ After determining the slope, we will use one of the points to find the equation of the line.The slope of the line is $m = 0.5$.

Now, using the point-slope form of a line equation with one of the points, say $(-5, -2)$, we can write:

$y - (-2) = 0.5(x - (-5))$

Let's simplify this equation to get it into slope-intercept form $y = mx + b$.The y-intercept $b$ is 0.5. Therefore, the equation of the line in slope-intercept form is:

$y = 0.5x + 0.5$

This is the equation of the line passing through the points $(-5, -2)$ and $(1, 1)$.

Would you like further details or clarifications?

Here are 5 related questions:

1. How do you determine the slope of a line graphically?
2. What does the slope of a line represent in real-world scenarios?
3. How do different slopes affect the steepness of a line?
4. Can the equation of a line be determined using two different forms? (point-slope and standard)
5. How can we interpret the y-intercept in various contexts?

Tip: Always use clear points on a grid when calculating slope to avoid errors.