The problem asks to determine the slope of the line that passes through two points: $(0, -2)$ and $(4, 1)$.

Formula for the slope:

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

Substituting the given points:

• $(x_1, y_1) = (0, -2)$
• $(x_2, y_2) = (4, 1)$

$m = \frac{1 - (-2)}{4 - 0} = \frac{1 + 2}{4} = \frac{3}{4}$

Final Answer:

The slope of the line is $\frac{3}{4}$.

Would you like additional explanation or practice problems?

5 Related Questions:

1. What is the slope of a horizontal line?
2. How do you find the slope if only the graph is given, without coordinates?
3. What is the slope-intercept form of a line, and how is the slope used in it?
4. How does the slope change if the line tilts downward?
5. Can the slope of a line ever be undefined? If so, when?

Tip:

When calculating slope, always ensure the denominator ($x_2 - x_1$) is not zero to avoid division by zero errors!