To find the slope of the line passing through two points $(-3, 1)$ and $(1, -2)$, we can use the slope formula:

$\text{slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

• $(x_1, y_1) = (-3, 1)$
• $(x_2, y_2) = (1, -2)$

Now, applying the values:

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

Thus, the slope of the line is $-\frac{3}{4}$, which corresponds to option B.

Would you like any more details on this?

Here are 5 related questions for further practice:

1. What is the slope of a line passing through points $(2, 3)$ and $(4, 5)$?
2. How do you interpret a positive slope versus a negative slope?
3. What is the equation of a line with a slope of $-3/4$ that passes through the point $(1, 2)$?
4. How do you calculate the y-intercept from the slope and a point on the line?
5. What does it mean if the slope of a line is zero?

Tip: The slope of a line represents the rate of change between the $y$-values and $x$-values—rise over run!