Question

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

Answer 1

It's Undefined, which means the line would be vertical.

Answer 2

Set:

(x₁ , y₁) = (2, -3)

(x₂ , y₂) = (2, 9)

Note that the equation is:

(y₂ - y₁)/(x₂ - x₁) = slope

Plug in.

(9 - (-3))/(2 - 2) = 12/0

Undefined, which means the line would be vertical.

hope this helps