The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated using the formula:

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

Given the points $(5, 9)$ and $(-1, 0)$, we can assign:

• $x_1 = 5$, $y_1 = 9$
• $x_2 = -1$, $y_2 = 0$

Plugging these values into the formula:

$m = \frac{0 - 9}{-1 - 5} = \frac{-9}{-6} = \frac{3}{2}$

So, the slope of the line is:

$m = \frac{3}{2}$

Would you like a detailed breakdown or have any questions?

Here are 5 related questions to consider:

1. How do you find the y-intercept of a line given its slope and one point?
2. What is the equation of a line in slope-intercept form?
3. How do you find the distance between two points?
4. How do you determine if two lines are parallel?
5. How do you find the midpoint of a line segment?

Tip: When finding the slope of a line, if the denominator is zero, the line is vertical and its slope is undefined.