The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. what is the slope of the line that passes through the points?

2
3
6
9

To find the slope, use the rise/run technique with rise as the difference in y-coordinates and run as the difference in x-coordinates.  So, the rise is 6 units and the run is 3 units in this situation.  Now simply put it as a fraction: 6/3, which can be simplified to 2/1, or 2.