To find the slope of the line passing through the points $(1, 0)$ and $(3, 8)$, we use the slope formula:

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

Here:

• $(x_1, y_1) = (1, 0)$
• $(x_2, y_2) = (3, 8)$

Calculation:

$m = \frac{8 - 0}{3 - 1} = \frac{8}{2} = 4$

Thus, the slope of the line is $4$.

Correct Answer:

C) $4$

Let me know if you want further clarification or examples!

Related Questions:

1. How do you find the slope if the points are $(2, 3)$ and $(6, 7)$?
2. How can the slope-intercept form of the equation $y = mx + b$ be derived?
3. If the slope is negative, what does it mean about the direction of the line?
4. How do you determine if two lines are parallel or perpendicular based on their slopes?
5. How do you calculate the slope when one of the points has a negative coordinate?

Tip:

The slope indicates the "rise over run" of a line. If the slope is positive, the line rises to the right; if negative, it falls to the right.