To find the slope of a line that passes through two given points, you can use the slope formula:

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

Given the points $(9, 4)$ and $(3, 9)$, we can assign the coordinates as follows:

• $(x_1, y_1) = (9, 4)$
• $(x_2, y_2) = (3, 9)$

Substituting these values into the slope formula:

$m = \frac{9 - 4}{3 - 9}$

$m = \frac{5}{-6}$

$m = -\frac{5}{6}$

So, the slope of the line that passes through the points $(9, 4)$ and $(3, 9)$ is:

$m = -\frac{5}{6}$

This slope is already in its simplest form.

Do you want more details or have any questions?

Relative Questions:

1. How do you find the equation of the line given its slope and a point?
2. What does a negative slope indicate about the direction of a line?
3. How do you find the y-intercept of a line if you have the slope and a point?
4. What is the slope of a horizontal line?
5. Can two points determine a unique line in a plane?

Tip:

When calculating the slope, always pay attention to the order of subtraction to maintain the correct sign.