What is the slope of the line that passes through (9, 6) and (3, 9)?

To find the slope of the line that passes through the points (9, 6) and (3, 9), we can use the formula for slope, which is given by:

slope (m) = (y₂ – y₁) / (x₂ – x₁)

Here, we assign (x₁, y₁) = (9, 6) and (x₂, y₂) = (3, 9).

Now, we can substitute the values into the formula:

m = (9 – 6) / (3 – 9)

This simplifies to:

m = 3 / (-6)

So, the slope is:

m = -1/2

This means that for every 1 unit the line moves vertically, it moves 2 units horizontally to the left. The negative slope indicates that the line is descending as it moves from left to right.