Question

Find the slope of the following line which passes through the points:

E(2, 3), F(2, −1)

Answer 1

Here, E ≡ (2, 3) and F ≡ (2, –1)

Slope of line EF = `(y_2 - y_1)/(x_2 - x_1)`

= `(-1 - 3)/(2 - 2)`

= `(-4)/0`, which is not defined

Alternate Method:

Points E and F have same x co-ordinates i.e. 2

∴ Points E and F lie on a line parallel to Y-axis.

∴ The slope of EF is not defined.