To find the correct slope of the line shown on the graph, we follow the steps for calculating the slope between two points on the line.

The slope formula is:

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

From the graph, we can observe two points where the line crosses grid points:

1. $(1, -5)$
2. $(5, 1)$

Let's substitute these points into the slope formula:

$m = \frac{{1 - (-5)}}{{5 - 1}} = \frac{{1 + 5}}{{4}} = \frac{6}{4} = \frac{3}{2}$

So, the correct slope of the line is:

$m = \frac{3}{2}$

Let me know if you need any further clarification or have additional questions!

Here are 5 related questions to explore:

1. What does it mean when a slope is positive or negative?
2. How do you find the slope of a vertical or horizontal line?
3. What is the difference between steep and shallow slopes?
4. How do you graph a line given its slope and one point?
5. How do parallel lines relate to slope?

Tip: The slope of a line can also tell you how fast one variable changes relative to another, which is useful in understanding rates of change.