To find the slope of the line between the two points $(-3, 4)$ and $(1, -8)$, we use the slope formula:

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

Here:

• $(x_1, y_1) = (-3, 4)$
• $(x_2, y_2) = (1, -8)$

Now, substitute these values into the formula:

$m = \frac{-8 - 4}{1 - (-3)} = \frac{-12}{1 + 3} = \frac{-12}{4} = -3$

Thus, the slope of the line is $-3$, which corresponds to option A.

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Related Questions:

1. How do you find the equation of a line given two points?
2. What is the meaning of a negative slope in a graph?
3. How does the slope relate to the steepness of a line?
4. What is the formula for the slope-intercept form of a line?
5. Can the slope of a vertical line be calculated using this method?

Tip:

Remember, a negative slope means that as $x$ increases, $y$ decreases, indicating a downward slant on the graph from left to right.