To find the slope of the line shown in the graph, we can use the formula for the slope of a line between two points:

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

From the graph, we can identify two points on the line:

1. $(-4, -2)$
2. $(4, 4)$

Now, substituting these coordinates into the slope formula: $m = \frac{4 - (-2)}{4 - (-4)}$ $m = \frac{4 + 2}{4 + 4}$ $m = \frac{6}{8} = \frac{3}{4}$

So, the slope of the line is: $\boxed{\frac{3}{4}}$

Let me know if you'd like additional explanations or clarifications!

5 Related Questions:

1. How do you find the slope if the two points have the same x-coordinate?
2. What does the slope of a line represent in real-life contexts?
3. How can you tell if a line has a positive or negative slope by looking at a graph?
4. What is the slope of a horizontal or vertical line?
5. How can you write the equation of a line given its slope and one point?

Tip:

To quickly estimate the slope from a graph, count the "rise" (vertical change) and the "run" (horizontal change) between two points on the line!