Find the slope of the line passing through the pair of points, if possible. (If an answer is undefined, enter UNDEFINED.)

P(4, 7); Q(8, 23)

as usual, the slope of PQ is

Δy/Δx = (23-7)/(8-4) = 16/4 = 4

To find the slope of the line passing through the pair of points P(4, 7) and Q(8, 23), you can use the slope formula:

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

Let's plug in the values of the coordinates:

m = (23 - 7) / (8 - 4)

Simplifying:

m = 16 / 4
m = 4

Therefore, the slope of the line passing through the points P(4, 7) and Q(8, 23) is 4.