To find the slope of the line passing through the points $(-4, -2)$ and $(-3, 3)$, we will use the slope formula:

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

Where:

• $(x_1, y_1) = (-4, -2)$
• $(x_2, y_2) = (-3, 3)$

Plugging in these values: $m = \frac{3 - (-2)}{-3 - (-4)}$ $m = \frac{3 + 2}{-3 + 4}$ $m = \frac{5}{1} = 5$

The slope of the line is $5$.

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Related Questions:

1. How do you find the slope of a line given two points?
2. What does a positive slope indicate about the direction of a line?
3. How would you find the equation of a line using its slope and a point on the line?
4. What is the difference between slope-intercept form and point-slope form of a line?
5. How can you determine if two lines are parallel or perpendicular using their slopes?

Tip: The slope of a line describes how steep it is and its direction. A positive slope means the line rises as it moves from left to right.