Find the slope of any line parallel to the line through points (17, 4) and (5, 8).

the slope of these is:
8-4 4 1
----- = --- = ---
17-5 12 3

is 1/3 the correct answer?

No
you started with the y of the second point, so you have to start with the x of the second point also
slope = (8-4)/(5-17) = - 1/3

To find the slope of the line passing through two points, (17, 4) and (5, 8), you need to use the formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (17, 4) and (x2, y2) = (5, 8).

So, substituting the values into the formula:
slope = (8 - 4) / (5 - 17)
= 4 / (-12)
= -1/3

Therefore, the correct answer is -1/3, not 1/3.