last question, what is the most affective way to solve for slope when involving ordered pairs, ex.

(8,-9) (2,-1) i learned this in class today, but information doesn't stick well in my head :)

(y-y1)/(x-x1).(the ones are sub ones and mean a different y and a different x.....so.

-9-(-1) / 8-2
-9+1 / 6
-8 / 6
-4/3
slope = -4/3

To solve for the slope when given two ordered pairs, you can use the formula:

slope = (change in y) / (change in x)

To apply this formula to the given ordered pairs (8, -9) and (2, -1), you follow these steps:

1. Identify the coordinates of the first ordered pair: (x1, y1) = (8, -9)
2. Identify the coordinates of the second ordered pair: (x2, y2) = (2, -1)
3. Calculate the change in y: (y2 - y1) = (-1 - (-9)) = (-1 + 9) = 8
4. Calculate the change in x: (x2 - x1) = (2 - 8) = -6
5. Plug the values into the formula: slope = (8) / (-6)
6. Simplify the division: slope = -4/3

Therefore, the slope of the line passing through the given ordered pairs is -4/3.