Find the slope of the line passing through points q(8, 7) and p(4, 1).

The formula to find slope is (y2-y2)/(x2-x1)

You can remember it like this: "If you want to be wise, remember rise over run, which is y's over x's."

The next step is to determine which point is (x1,y1) and which is (x2,y2).
We do this by determining which point has the biggest x value: (8,7)

Now we plug it into the formula: (8-4)/(7-1) 
Simplify and we get: 4/6 or 2/3

Voila! You have your slope: 2/3

Hope this helps, and May the Force Be With You.