Find the slope of the line through the pair of points. A(2, –3), P(2, 9)

A. 0
B. 2/3
C. -1/3
D. undefined

(Y2-Y1) / (X2 - X1)

= (9+3)/(2-2)

= 12/0

Oh my, division by zero is undefined :)

Hahaha thanks Damon!:D

To find the slope of a line through a pair of points, you can use the formula:

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

Let's apply this formula to the given points A(2, -3) and P(2, 9).

The change in y-coordinates is: 9 - (-3) = 12
The change in x-coordinates is: 2 - 2 = 0

When the change in x-coordinates is 0, it means the line is vertical and the slope is undefined. So the answer is D. undefined.