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

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

For the given points $(20, 8)$ and $(9, 16)$:

• $x_1 = 20$, $y_1 = 8$
• $x_2 = 9$, $y_2 = 16$

Now substitute the values into the slope formula:

$m = \frac{16 - 8}{9 - 20} = \frac{8}{-11} = -\frac{8}{11}$

So, the slope of the line through the points $(20, 8)$ and $(9, 16)$ is:

$m = -\frac{8}{11}$

Would you like further explanation on how slope is calculated?

Here are 5 related questions:

1. What is the equation of the line passing through $(20, 8)$ and $(9, 16)$?
2. How do you find the y-intercept of a line using the slope and one point?
3. How does the slope of a line determine its steepness and direction?
4. What does a negative slope indicate about the direction of a line?
5. Can you find the midpoint of the segment connecting $(20, 8)$ and $(9, 16)$?

Tip: The slope of a line indicates how much the y-value changes for every unit increase in the x-value. A negative slope means the line decreases as you move from left to right.